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Finding the Fourth Proportional to 15,506, 21,398.28 and 8,791.76

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Solution

The fourth proportional to 15,506, 21,398.28 and 8,791.76 is: 12,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506 : 21,398.28 = 8,791.76 : x
  2. Step 2: Convert to fraction form
    15,506/21,398.28 = 8,791.76/x
  3. Step 3: Cross multiply
    15,506x = 21,398.28 × 8,791.76
  4. Step 4: Simplify right side
    15,506x = 188,128,542.17
  5. Step 5: Solve for x
    x = 188,128,542.17/15,506
  6. Step 6: Final answer
    x = 12,132.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.