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Finding the Fourth Proportional to 27,240, 40,869.84 and 13,398.72

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Solution

The fourth proportional to 27,240, 40,869.84 and 13,398.72 is: 20,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,240 : 40,869.84 = 13,398.72 : x
  2. Step 2: Convert to fraction form
    27,240/40,869.84 = 13,398.72/x
  3. Step 3: Cross multiply
    27,240x = 40,869.84 × 13,398.72
  4. Step 4: Simplify right side
    27,240x = 547,603,542.60
  5. Step 5: Solve for x
    x = 547,603,542.60/27,240
  6. Step 6: Final answer
    x = 20,102.92

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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.