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Finding the Fourth Proportional to 17,176, 23,702.88 and 9,724

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Solution

The fourth proportional to 17,176, 23,702.88 and 9,724 is: 13,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176 : 23,702.88 = 9,724 : x
  2. Step 2: Convert to fraction form
    17,176/23,702.88 = 9,724/x
  3. Step 3: Cross multiply
    17,176x = 23,702.88 × 9,724
  4. Step 4: Simplify right side
    17,176x = 230,486,805.12
  5. Step 5: Solve for x
    x = 230,486,805.12/17,176
  6. Step 6: Final answer
    x = 13,419.12

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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.