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Finding the Fourth Proportional to 17,687.65, 24,409.34 and 9,729.88

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Solution

The fourth proportional to 17,687.65, 24,409.34 and 9,729.88 is: 13,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.65 : 24,409.34 = 9,729.88 : x
  2. Step 2: Convert to fraction form
    17,687.65/24,409.34 = 9,729.88/x
  3. Step 3: Cross multiply
    17,687.65x = 24,409.34 × 9,729.88
  4. Step 4: Simplify right side
    17,687.65x = 237,499,802.14
  5. Step 5: Solve for x
    x = 237,499,802.14/17,687.65
  6. Step 6: Final answer
    x = 13,427.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.