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Finding the Fourth Proportional to 6,144.70, 9,217.02 and 1,527.70

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Solution

The fourth proportional to 6,144.70, 9,217.02 and 1,527.70 is: 2,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.70 : 9,217.02 = 1,527.70 : x
  2. Step 2: Convert to fraction form
    6,144.70/9,217.02 = 1,527.70/x
  3. Step 3: Cross multiply
    6,144.70x = 9,217.02 × 1,527.70
  4. Step 4: Simplify right side
    6,144.70x = 14,080,841.45
  5. Step 5: Solve for x
    x = 14,080,841.45/6,144.70
  6. Step 6: Final answer
    x = 2,291.54

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Half scale
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Double scale
Find fourth proportional to 6,145.70, 9,218.52 and 1,528.70
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.