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Finding the Fourth Proportional to 13,714, 20,598.60 and 8,178.16

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Solution

The fourth proportional to 13,714, 20,598.60 and 8,178.16 is: 12,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714 : 20,598.60 = 8,178.16 : x
  2. Step 2: Convert to fraction form
    13,714/20,598.60 = 8,178.16/x
  3. Step 3: Cross multiply
    13,714x = 20,598.60 × 8,178.16
  4. Step 4: Simplify right side
    13,714x = 168,458,646.58
  5. Step 5: Solve for x
    x = 168,458,646.58/13,714
  6. Step 6: Final answer
    x = 12,283.70

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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.