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Finding the Fourth Proportional to 21,294.28, 31,946.28 and 6,505.30

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Solution

The fourth proportional to 21,294.28, 31,946.28 and 6,505.30 is: 9,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.28 : 31,946.28 = 6,505.30 : x
  2. Step 2: Convert to fraction form
    21,294.28/31,946.28 = 6,505.30/x
  3. Step 3: Cross multiply
    21,294.28x = 31,946.28 × 6,505.30
  4. Step 4: Simplify right side
    21,294.28x = 207,820,135.28
  5. Step 5: Solve for x
    x = 207,820,135.28/21,294.28
  6. Step 6: Final answer
    x = 9,759.43

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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.