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Finding the Fourth Proportional to 17,767, 26,648.61 and 9,438.18

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Solution

The fourth proportional to 17,767, 26,648.61 and 9,438.18 is: 14,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767 : 26,648.61 = 9,438.18 : x
  2. Step 2: Convert to fraction form
    17,767/26,648.61 = 9,438.18/x
  3. Step 3: Cross multiply
    17,767x = 26,648.61 × 9,438.18
  4. Step 4: Simplify right side
    17,767x = 251,514,377.93
  5. Step 5: Solve for x
    x = 251,514,377.93/17,767
  6. Step 6: Final answer
    x = 14,156.27

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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.