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Finding the Fourth Proportional to 18,726.16, 25,840.80 and 10,342

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Solution

The fourth proportional to 18,726.16, 25,840.80 and 10,342 is: 14,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,726.16 : 25,840.80 = 10,342 : x
  2. Step 2: Convert to fraction form
    18,726.16/25,840.80 = 10,342/x
  3. Step 3: Cross multiply
    18,726.16x = 25,840.80 × 10,342
  4. Step 4: Simplify right side
    18,726.16x = 267,245,553.60
  5. Step 5: Solve for x
    x = 267,245,553.60/18,726.16
  6. Step 6: Final answer
    x = 14,271.24

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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.