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Finding the Fourth Proportional to 27,145.67, 40,723.90 and 8,424.91

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Solution

The fourth proportional to 27,145.67, 40,723.90 and 8,424.91 is: 12,639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.67 : 40,723.90 = 8,424.91 : x
  2. Step 2: Convert to fraction form
    27,145.67/40,723.90 = 8,424.91/x
  3. Step 3: Cross multiply
    27,145.67x = 40,723.90 × 8,424.91
  4. Step 4: Simplify right side
    27,145.67x = 343,095,222.19
  5. Step 5: Solve for x
    x = 343,095,222.19/27,145.67
  6. Step 6: Final answer
    x = 12,639.04

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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.