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Finding the Fourth Proportional to 21,788.92, 32,686.44 and 8,642.64

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Solution

The fourth proportional to 21,788.92, 32,686.44 and 8,642.64 is: 12,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788.92 : 32,686.44 = 8,642.64 : x
  2. Step 2: Convert to fraction form
    21,788.92/32,686.44 = 8,642.64/x
  3. Step 3: Cross multiply
    21,788.92x = 32,686.44 × 8,642.64
  4. Step 4: Simplify right side
    21,788.92x = 282,497,133.80
  5. Step 5: Solve for x
    x = 282,497,133.80/21,788.92
  6. Step 6: Final answer
    x = 12,965.17

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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.