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Finding the Fourth Proportional to 28,531.28, 42,788.28 and 7,752.08

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Solution

The fourth proportional to 28,531.28, 42,788.28 and 7,752.08 is: 11,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,531.28 : 42,788.28 = 7,752.08 : x
  2. Step 2: Convert to fraction form
    28,531.28/42,788.28 = 7,752.08/x
  3. Step 3: Cross multiply
    28,531.28x = 42,788.28 × 7,752.08
  4. Step 4: Simplify right side
    28,531.28x = 331,698,169.62
  5. Step 5: Solve for x
    x = 331,698,169.62/28,531.28
  6. Step 6: Final answer
    x = 11,625.77

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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.