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Finding the Fourth Proportional to 18,662, 25,753.56 and 10,278.50

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Solution

The fourth proportional to 18,662, 25,753.56 and 10,278.50 is: 14,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,662 : 25,753.56 = 10,278.50 : x
  2. Step 2: Convert to fraction form
    18,662/25,753.56 = 10,278.50/x
  3. Step 3: Cross multiply
    18,662x = 25,753.56 × 10,278.50
  4. Step 4: Simplify right side
    18,662x = 264,707,966.46
  5. Step 5: Solve for x
    x = 264,707,966.46/18,662
  6. Step 6: Final answer
    x = 14,184.33

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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.