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Finding the Fourth Proportional to 27,145.74, 40,719.84 and 7,423.86

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Solution

The fourth proportional to 27,145.74, 40,719.84 and 7,423.86 is: 11,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.74 : 40,719.84 = 7,423.86 : x
  2. Step 2: Convert to fraction form
    27,145.74/40,719.84 = 7,423.86/x
  3. Step 3: Cross multiply
    27,145.74x = 40,719.84 × 7,423.86
  4. Step 4: Simplify right side
    27,145.74x = 302,298,391.38
  5. Step 5: Solve for x
    x = 302,298,391.38/27,145.74
  6. Step 6: Final answer
    x = 11,136.13

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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.