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Finding the Fourth Proportional to 6,148.70, 9,223.05 and 5,419.70

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Solution

The fourth proportional to 6,148.70, 9,223.05 and 5,419.70 is: 8,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.70 : 9,223.05 = 5,419.70 : x
  2. Step 2: Convert to fraction form
    6,148.70/9,223.05 = 5,419.70/x
  3. Step 3: Cross multiply
    6,148.70x = 9,223.05 × 5,419.70
  4. Step 4: Simplify right side
    6,148.70x = 49,986,164.09
  5. Step 5: Solve for x
    x = 49,986,164.09/6,148.70
  6. Step 6: Final answer
    x = 8,129.55

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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.