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Finding the Fourth Proportional to 11,417.38, 15,754.41 and 6,381.36

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Solution

The fourth proportional to 11,417.38, 15,754.41 and 6,381.36 is: 8,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.38 : 15,754.41 = 6,381.36 : x
  2. Step 2: Convert to fraction form
    11,417.38/15,754.41 = 6,381.36/x
  3. Step 3: Cross multiply
    11,417.38x = 15,754.41 × 6,381.36
  4. Step 4: Simplify right side
    11,417.38x = 100,534,561.80
  5. Step 5: Solve for x
    x = 100,534,561.80/11,417.38
  6. Step 6: Final answer
    x = 8,805.40

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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.