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Finding the Fourth Proportional to 21,687.30, 32,541.84 and 8,549.10

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Solution

The fourth proportional to 21,687.30, 32,541.84 and 8,549.10 is: 12,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.30 : 32,541.84 = 8,549.10 : x
  2. Step 2: Convert to fraction form
    21,687.30/32,541.84 = 8,549.10/x
  3. Step 3: Cross multiply
    21,687.30x = 32,541.84 × 8,549.10
  4. Step 4: Simplify right side
    21,687.30x = 278,203,444.34
  5. Step 5: Solve for x
    x = 278,203,444.34/21,687.30
  6. Step 6: Final answer
    x = 12,827.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.