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Finding the Fourth Proportional to 15,718.92, 21,693.08 and 8,646

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Solution

The fourth proportional to 15,718.92, 21,693.08 and 8,646 is: 11,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.92 : 21,693.08 = 8,646 : x
  2. Step 2: Convert to fraction form
    15,718.92/21,693.08 = 8,646/x
  3. Step 3: Cross multiply
    15,718.92x = 21,693.08 × 8,646
  4. Step 4: Simplify right side
    15,718.92x = 187,558,369.68
  5. Step 5: Solve for x
    x = 187,558,369.68/15,718.92
  6. Step 6: Final answer
    x = 11,932.01

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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.