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Finding the Fourth Proportional to 15,709.29, 21,678 and 8,635.95

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Solution

The fourth proportional to 15,709.29, 21,678 and 8,635.95 is: 11,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.29 : 21,678 = 8,635.95 : x
  2. Step 2: Convert to fraction form
    15,709.29/21,678 = 8,635.95/x
  3. Step 3: Cross multiply
    15,709.29x = 21,678 × 8,635.95
  4. Step 4: Simplify right side
    15,709.29x = 187,210,124.10
  5. Step 5: Solve for x
    x = 187,210,124.10/15,709.29
  6. Step 6: Final answer
    x = 11,917.16

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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.