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Finding the Fourth Proportional to 40,404, 55,757.76 and 22,740

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Solution

The fourth proportional to 40,404, 55,757.76 and 22,740 is: 31,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,404 : 55,757.76 = 22,740 : x
  2. Step 2: Convert to fraction form
    40,404/55,757.76 = 22,740/x
  3. Step 3: Cross multiply
    40,404x = 55,757.76 × 22,740
  4. Step 4: Simplify right side
    40,404x = 1,267,931,462.40
  5. Step 5: Solve for x
    x = 1,267,931,462.40/40,404
  6. Step 6: Final answer
    x = 31,381.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.