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Finding the Fourth Proportional to 15,874, 21,875.92 and 11,626.36

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Solution

The fourth proportional to 15,874, 21,875.92 and 11,626.36 is: 16,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874 : 21,875.92 = 11,626.36 : x
  2. Step 2: Convert to fraction form
    15,874/21,875.92 = 11,626.36/x
  3. Step 3: Cross multiply
    15,874x = 21,875.92 × 11,626.36
  4. Step 4: Simplify right side
    15,874x = 254,337,321.25
  5. Step 5: Solve for x
    x = 254,337,321.25/15,874
  6. Step 6: Final answer
    x = 16,022.26

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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.