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Finding the Fourth Proportional to 17,766, 26,647.11 and 9,437.18

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Solution

The fourth proportional to 17,766, 26,647.11 and 9,437.18 is: 14,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766 : 26,647.11 = 9,437.18 : x
  2. Step 2: Convert to fraction form
    17,766/26,647.11 = 9,437.18/x
  3. Step 3: Cross multiply
    17,766x = 26,647.11 × 9,437.18
  4. Step 4: Simplify right side
    17,766x = 251,473,440.31
  5. Step 5: Solve for x
    x = 251,473,440.31/17,766
  6. Step 6: Final answer
    x = 14,154.76

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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.