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Finding the Fourth Proportional to 21,874.91, 32,812.63 and 8,719.61

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Solution

The fourth proportional to 21,874.91, 32,812.63 and 8,719.61 is: 13,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.91 : 32,812.63 = 8,719.61 : x
  2. Step 2: Convert to fraction form
    21,874.91/32,812.63 = 8,719.61/x
  3. Step 3: Cross multiply
    21,874.91x = 32,812.63 × 8,719.61
  4. Step 4: Simplify right side
    21,874.91x = 286,113,150.81
  5. Step 5: Solve for x
    x = 286,113,150.81/21,874.91
  6. Step 6: Final answer
    x = 13,079.52

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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.