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Finding the Fourth Proportional to 17,381.88, 26,047.86 and 9,891.42

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Solution

The fourth proportional to 17,381.88, 26,047.86 and 9,891.42 is: 14,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.88 : 26,047.86 = 9,891.42 : x
  2. Step 2: Convert to fraction form
    17,381.88/26,047.86 = 9,891.42/x
  3. Step 3: Cross multiply
    17,381.88x = 26,047.86 × 9,891.42
  4. Step 4: Simplify right side
    17,381.88x = 257,650,323.36
  5. Step 5: Solve for x
    x = 257,650,323.36/17,381.88
  6. Step 6: Final answer
    x = 14,822.93

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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.