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Finding the Fourth Proportional to 8,402.59, 11,591.70 and 5,419.39

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Solution

The fourth proportional to 8,402.59, 11,591.70 and 5,419.39 is: 7,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.59 : 11,591.70 = 5,419.39 : x
  2. Step 2: Convert to fraction form
    8,402.59/11,591.70 = 5,419.39/x
  3. Step 3: Cross multiply
    8,402.59x = 11,591.70 × 5,419.39
  4. Step 4: Simplify right side
    8,402.59x = 62,819,943.06
  5. Step 5: Solve for x
    x = 62,819,943.06/8,402.59
  6. Step 6: Final answer
    x = 7,476.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.