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Finding the Fourth Proportional to 21,671.80, 32,512.24 and 12,316.16

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Solution

The fourth proportional to 21,671.80, 32,512.24 and 12,316.16 is: 18,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.80 : 32,512.24 = 12,316.16 : x
  2. Step 2: Convert to fraction form
    21,671.80/32,512.24 = 12,316.16/x
  3. Step 3: Cross multiply
    21,671.80x = 32,512.24 × 12,316.16
  4. Step 4: Simplify right side
    21,671.80x = 400,425,949.80
  5. Step 5: Solve for x
    x = 400,425,949.80/21,671.80
  6. Step 6: Final answer
    x = 18,476.82

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1.5x scale

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.