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Finding the Fourth Proportional to 17,171.40, 25,754 and 6,078.20

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Solution

The fourth proportional to 17,171.40, 25,754 and 6,078.20 is: 9,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.40 : 25,754 = 6,078.20 : x
  2. Step 2: Convert to fraction form
    17,171.40/25,754 = 6,078.20/x
  3. Step 3: Cross multiply
    17,171.40x = 25,754 × 6,078.20
  4. Step 4: Simplify right side
    17,171.40x = 156,537,962.80
  5. Step 5: Solve for x
    x = 156,537,962.80/17,171.40
  6. Step 6: Final answer
    x = 9,116.20

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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.