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Finding the Fourth Proportional to 14,776.78, 20,385.52 and 9,734.53

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Solution

The fourth proportional to 14,776.78, 20,385.52 and 9,734.53 is: 13,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.78 : 20,385.52 = 9,734.53 : x
  2. Step 2: Convert to fraction form
    14,776.78/20,385.52 = 9,734.53/x
  3. Step 3: Cross multiply
    14,776.78x = 20,385.52 × 9,734.53
  4. Step 4: Simplify right side
    14,776.78x = 198,443,456.01
  5. Step 5: Solve for x
    x = 198,443,456.01/14,776.78
  6. Step 6: Final answer
    x = 13,429.41

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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.