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Finding the Fourth Proportional to 28,007.72, 42,001.82 and 8,281

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Solution

The fourth proportional to 28,007.72, 42,001.82 and 8,281 is: 12,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,007.72 : 42,001.82 = 8,281 : x
  2. Step 2: Convert to fraction form
    28,007.72/42,001.82 = 8,281/x
  3. Step 3: Cross multiply
    28,007.72x = 42,001.82 × 8,281
  4. Step 4: Simplify right side
    28,007.72x = 347,817,071.42
  5. Step 5: Solve for x
    x = 347,817,071.42/28,007.72
  6. Step 6: Final answer
    x = 12,418.61

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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.