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Finding the Fourth Proportional to 28,124.52, 42,187.16 and 7,348

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Solution

The fourth proportional to 28,124.52, 42,187.16 and 7,348 is: 11,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,124.52 : 42,187.16 = 7,348 : x
  2. Step 2: Convert to fraction form
    28,124.52/42,187.16 = 7,348/x
  3. Step 3: Cross multiply
    28,124.52x = 42,187.16 × 7,348
  4. Step 4: Simplify right side
    28,124.52x = 309,991,251.68
  5. Step 5: Solve for x
    x = 309,991,251.68/28,124.52
  6. Step 6: Final answer
    x = 11,022.10

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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.