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Finding the Fourth Proportional to 28,264.50, 42,397.56 and 7,488

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Solution

The fourth proportional to 28,264.50, 42,397.56 and 7,488 is: 11,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,264.50 : 42,397.56 = 7,488 : x
  2. Step 2: Convert to fraction form
    28,264.50/42,397.56 = 7,488/x
  3. Step 3: Cross multiply
    28,264.50x = 42,397.56 × 7,488
  4. Step 4: Simplify right side
    28,264.50x = 317,472,929.28
  5. Step 5: Solve for x
    x = 317,472,929.28/28,264.50
  6. Step 6: Final answer
    x = 11,232.21

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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.