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Finding the Fourth Proportional to 28,551.53, 42,830.15 and 9,829.09

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Solution

The fourth proportional to 28,551.53, 42,830.15 and 9,829.09 is: 14,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,551.53 : 42,830.15 = 9,829.09 : x
  2. Step 2: Convert to fraction form
    28,551.53/42,830.15 = 9,829.09/x
  3. Step 3: Cross multiply
    28,551.53x = 42,830.15 × 9,829.09
  4. Step 4: Simplify right side
    28,551.53x = 420,981,349.92
  5. Step 5: Solve for x
    x = 420,981,349.92/28,551.53
  6. Step 6: Final answer
    x = 14,744.62

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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.