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Finding the Fourth Proportional to 9,770.62, 13,489.20 and 6,419.28

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Solution

The fourth proportional to 9,770.62, 13,489.20 and 6,419.28 is: 8,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.62 : 13,489.20 = 6,419.28 : x
  2. Step 2: Convert to fraction form
    9,770.62/13,489.20 = 6,419.28/x
  3. Step 3: Cross multiply
    9,770.62x = 13,489.20 × 6,419.28
  4. Step 4: Simplify right side
    9,770.62x = 86,590,951.78
  5. Step 5: Solve for x
    x = 86,590,951.78/9,770.62
  6. Step 6: Final answer
    x = 8,862.38

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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.