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Finding the Fourth Proportional to 28,104.52, 42,159.20 and 7,328

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Solution

The fourth proportional to 28,104.52, 42,159.20 and 7,328 is: 10,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,104.52 : 42,159.20 = 7,328 : x
  2. Step 2: Convert to fraction form
    28,104.52/42,159.20 = 7,328/x
  3. Step 3: Cross multiply
    28,104.52x = 42,159.20 × 7,328
  4. Step 4: Simplify right side
    28,104.52x = 308,942,617.60
  5. Step 5: Solve for x
    x = 308,942,617.60/28,104.52
  6. Step 6: Final answer
    x = 10,992.63

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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.