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Finding the Fourth Proportional to 17,378.98, 23,982.78 and 9,421

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Solution

The fourth proportional to 17,378.98, 23,982.78 and 9,421 is: 13,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.98 : 23,982.78 = 9,421 : x
  2. Step 2: Convert to fraction form
    17,378.98/23,982.78 = 9,421/x
  3. Step 3: Cross multiply
    17,378.98x = 23,982.78 × 9,421
  4. Step 4: Simplify right side
    17,378.98x = 225,941,770.38
  5. Step 5: Solve for x
    x = 225,941,770.38/17,378.98
  6. Step 6: Final answer
    x = 13,000.86

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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.