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Finding the Fourth Proportional to 20,475.84, 30,714.88 and 8,781.12

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Solution

The fourth proportional to 20,475.84, 30,714.88 and 8,781.12 is: 13,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.84 : 30,714.88 = 8,781.12 : x
  2. Step 2: Convert to fraction form
    20,475.84/30,714.88 = 8,781.12/x
  3. Step 3: Cross multiply
    20,475.84x = 30,714.88 × 8,781.12
  4. Step 4: Simplify right side
    20,475.84x = 269,711,047.07
  5. Step 5: Solve for x
    x = 269,711,047.07/20,475.84
  6. Step 6: Final answer
    x = 13,172.16

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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.