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Finding the Fourth Proportional to 15,705.92, 21,673.12 and 8,632

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Solution

The fourth proportional to 15,705.92, 21,673.12 and 8,632 is: 11,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.92 : 21,673.12 = 8,632 : x
  2. Step 2: Convert to fraction form
    15,705.92/21,673.12 = 8,632/x
  3. Step 3: Cross multiply
    15,705.92x = 21,673.12 × 8,632
  4. Step 4: Simplify right side
    15,705.92x = 187,082,371.84
  5. Step 5: Solve for x
    x = 187,082,371.84/15,705.92
  6. Step 6: Final answer
    x = 11,911.58

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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.