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Finding the Fourth Proportional to 27,142.18, 40,711.83 and 8,674.18

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Solution

The fourth proportional to 27,142.18, 40,711.83 and 8,674.18 is: 13,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.18 : 40,711.83 = 8,674.18 : x
  2. Step 2: Convert to fraction form
    27,142.18/40,711.83 = 8,674.18/x
  3. Step 3: Cross multiply
    27,142.18x = 40,711.83 × 8,674.18
  4. Step 4: Simplify right side
    27,142.18x = 353,141,741.55
  5. Step 5: Solve for x
    x = 353,141,741.55/27,142.18
  6. Step 6: Final answer
    x = 13,010.81

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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.