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Finding the Fourth Proportional to 28,508.50, 42,763.56 and 7,732

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Solution

The fourth proportional to 28,508.50, 42,763.56 and 7,732 is: 11,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,508.50 : 42,763.56 = 7,732 : x
  2. Step 2: Convert to fraction form
    28,508.50/42,763.56 = 7,732/x
  3. Step 3: Cross multiply
    28,508.50x = 42,763.56 × 7,732
  4. Step 4: Simplify right side
    28,508.50x = 330,647,845.92
  5. Step 5: Solve for x
    x = 330,647,845.92/28,508.50
  6. Step 6: Final answer
    x = 11,598.22

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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.