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Finding the Fourth Proportional to 21,543.64, 29,732.88 and 12,112

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Solution

The fourth proportional to 21,543.64, 29,732.88 and 12,112 is: 16,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.64 : 29,732.88 = 12,112 : x
  2. Step 2: Convert to fraction form
    21,543.64/29,732.88 = 12,112/x
  3. Step 3: Cross multiply
    21,543.64x = 29,732.88 × 12,112
  4. Step 4: Simplify right side
    21,543.64x = 360,124,642.56
  5. Step 5: Solve for x
    x = 360,124,642.56/21,543.64
  6. Step 6: Final answer
    x = 16,716.05

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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.