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Finding the Fourth Proportional to 21,785.80, 32,689.51 and 8,637.88

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Solution

The fourth proportional to 21,785.80, 32,689.51 and 8,637.88 is: 12,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.80 : 32,689.51 = 8,637.88 : x
  2. Step 2: Convert to fraction form
    21,785.80/32,689.51 = 8,637.88/x
  3. Step 3: Cross multiply
    21,785.80x = 32,689.51 × 8,637.88
  4. Step 4: Simplify right side
    21,785.80x = 282,368,064.64
  5. Step 5: Solve for x
    x = 282,368,064.64/21,785.80
  6. Step 6: Final answer
    x = 12,961.11

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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.