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Finding the Fourth Proportional to 14,854, 20,500.92 and 8,565.28

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Solution

The fourth proportional to 14,854, 20,500.92 and 8,565.28 is: 11,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854 : 20,500.92 = 8,565.28 : x
  2. Step 2: Convert to fraction form
    14,854/20,500.92 = 8,565.28/x
  3. Step 3: Cross multiply
    14,854x = 20,500.92 × 8,565.28
  4. Step 4: Simplify right side
    14,854x = 175,596,120.06
  5. Step 5: Solve for x
    x = 175,596,120.06/14,854
  6. Step 6: Final answer
    x = 11,821.47

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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.