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Finding the Fourth Proportional to 17,740, 26,610 and 9,949.42

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Solution

The fourth proportional to 17,740, 26,610 and 9,949.42 is: 14,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740 : 26,610 = 9,949.42 : x
  2. Step 2: Convert to fraction form
    17,740/26,610 = 9,949.42/x
  3. Step 3: Cross multiply
    17,740x = 26,610 × 9,949.42
  4. Step 4: Simplify right side
    17,740x = 264,754,066.20
  5. Step 5: Solve for x
    x = 264,754,066.20/17,740
  6. Step 6: Final answer
    x = 14,924.13

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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.