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Finding the Fourth Proportional to 17,810, 26,719.32 and 5,498

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Solution

The fourth proportional to 17,810, 26,719.32 and 5,498 is: 8,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810 : 26,719.32 = 5,498 : x
  2. Step 2: Convert to fraction form
    17,810/26,719.32 = 5,498/x
  3. Step 3: Cross multiply
    17,810x = 26,719.32 × 5,498
  4. Step 4: Simplify right side
    17,810x = 146,902,821.36
  5. Step 5: Solve for x
    x = 146,902,821.36/17,810
  6. Step 6: Final answer
    x = 8,248.33

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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.