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Finding the Fourth Proportional to 20,830.80, 31,254 and 12,402.16

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Solution

The fourth proportional to 20,830.80, 31,254 and 12,402.16 is: 18,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.80 : 31,254 = 12,402.16 : x
  2. Step 2: Convert to fraction form
    20,830.80/31,254 = 12,402.16/x
  3. Step 3: Cross multiply
    20,830.80x = 31,254 × 12,402.16
  4. Step 4: Simplify right side
    20,830.80x = 387,617,108.64
  5. Step 5: Solve for x
    x = 387,617,108.64/20,830.80
  6. Step 6: Final answer
    x = 18,607.88

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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.