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Finding the Fourth Proportional to 17,647.68, 26,473 and 5,167.20

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Solution

The fourth proportional to 17,647.68, 26,473 and 5,167.20 is: 7,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.68 : 26,473 = 5,167.20 : x
  2. Step 2: Convert to fraction form
    17,647.68/26,473 = 5,167.20/x
  3. Step 3: Cross multiply
    17,647.68x = 26,473 × 5,167.20
  4. Step 4: Simplify right side
    17,647.68x = 136,791,285.60
  5. Step 5: Solve for x
    x = 136,791,285.60/17,647.68
  6. Step 6: Final answer
    x = 7,751.23

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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.