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Finding the Fourth Proportional to 15,246.80, 21,040.56 and 8,534

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Solution

The fourth proportional to 15,246.80, 21,040.56 and 8,534 is: 11,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246.80 : 21,040.56 = 8,534 : x
  2. Step 2: Convert to fraction form
    15,246.80/21,040.56 = 8,534/x
  3. Step 3: Cross multiply
    15,246.80x = 21,040.56 × 8,534
  4. Step 4: Simplify right side
    15,246.80x = 179,560,139.04
  5. Step 5: Solve for x
    x = 179,560,139.04/15,246.80
  6. Step 6: Final answer
    x = 11,776.91

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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.