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Finding the Fourth Proportional to 20,641.47, 30,822.31 and 16,209.15

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Solution

The fourth proportional to 20,641.47, 30,822.31 and 16,209.15 is: 24,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,641.47 : 30,822.31 = 16,209.15 : x
  2. Step 2: Convert to fraction form
    20,641.47/30,822.31 = 16,209.15/x
  3. Step 3: Cross multiply
    20,641.47x = 30,822.31 × 16,209.15
  4. Step 4: Simplify right side
    20,641.47x = 499,603,405.61
  5. Step 5: Solve for x
    x = 499,603,405.61/20,641.47
  6. Step 6: Final answer
    x = 24,203.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.