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Finding the Fourth Proportional to 18,526, 25,565.88 and 10,142.52

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Solution

The fourth proportional to 18,526, 25,565.88 and 10,142.52 is: 13,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,526 : 25,565.88 = 10,142.52 : x
  2. Step 2: Convert to fraction form
    18,526/25,565.88 = 10,142.52/x
  3. Step 3: Cross multiply
    18,526x = 25,565.88 × 10,142.52
  4. Step 4: Simplify right side
    18,526x = 259,302,449.22
  5. Step 5: Solve for x
    x = 259,302,449.22/18,526
  6. Step 6: Final answer
    x = 13,996.68

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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.