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Finding the Fourth Proportional to 28,384.83, 42,577.65 and 9,669.17

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Solution

The fourth proportional to 28,384.83, 42,577.65 and 9,669.17 is: 14,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,384.83 : 42,577.65 = 9,669.17 : x
  2. Step 2: Convert to fraction form
    28,384.83/42,577.65 = 9,669.17/x
  3. Step 3: Cross multiply
    28,384.83x = 42,577.65 × 9,669.17
  4. Step 4: Simplify right side
    28,384.83x = 411,690,642.49
  5. Step 5: Solve for x
    x = 411,690,642.49/28,384.83
  6. Step 6: Final answer
    x = 14,503.90

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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.