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Finding the Fourth Proportional to 27,142.70, 40,714.05 and 9,614.30

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Solution

The fourth proportional to 27,142.70, 40,714.05 and 9,614.30 is: 14,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.70 : 40,714.05 = 9,614.30 : x
  2. Step 2: Convert to fraction form
    27,142.70/40,714.05 = 9,614.30/x
  3. Step 3: Cross multiply
    27,142.70x = 40,714.05 × 9,614.30
  4. Step 4: Simplify right side
    27,142.70x = 391,437,090.92
  5. Step 5: Solve for x
    x = 391,437,090.92/27,142.70
  6. Step 6: Final answer
    x = 14,421.45

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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.