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Finding the Fourth Proportional to 28,493, 42,734.54 and 7,711.64

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Solution

The fourth proportional to 28,493, 42,734.54 and 7,711.64 is: 11,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,493 : 42,734.54 = 7,711.64 : x
  2. Step 2: Convert to fraction form
    28,493/42,734.54 = 7,711.64/x
  3. Step 3: Cross multiply
    28,493x = 42,734.54 × 7,711.64
  4. Step 4: Simplify right side
    28,493x = 329,553,388.05
  5. Step 5: Solve for x
    x = 329,553,388.05/28,493
  6. Step 6: Final answer
    x = 11,566.12

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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.