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Finding the Fourth Proportional to 27,157.32, 40,714.11 and 12,358.62

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Solution

The fourth proportional to 27,157.32, 40,714.11 and 12,358.62 is: 18,527.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157.32 : 40,714.11 = 12,358.62 : x
  2. Step 2: Convert to fraction form
    27,157.32/40,714.11 = 12,358.62/x
  3. Step 3: Cross multiply
    27,157.32x = 40,714.11 × 12,358.62
  4. Step 4: Simplify right side
    27,157.32x = 503,170,214.13
  5. Step 5: Solve for x
    x = 503,170,214.13/27,157.32
  6. Step 6: Final answer
    x = 18,527.98

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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.