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Finding the Fourth Proportional to 6,140.76, 9,211.14 and 1,523.76

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Solution

The fourth proportional to 6,140.76, 9,211.14 and 1,523.76 is: 2,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.76 : 9,211.14 = 1,523.76 : x
  2. Step 2: Convert to fraction form
    6,140.76/9,211.14 = 1,523.76/x
  3. Step 3: Cross multiply
    6,140.76x = 9,211.14 × 1,523.76
  4. Step 4: Simplify right side
    6,140.76x = 14,035,566.69
  5. Step 5: Solve for x
    x = 14,035,566.69/6,140.76
  6. Step 6: Final answer
    x = 2,285.64

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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.