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Finding the Fourth Proportional to 18,525.56, 25,565.22 and 10,142

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Solution

The fourth proportional to 18,525.56, 25,565.22 and 10,142 is: 13,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,525.56 : 25,565.22 = 10,142 : x
  2. Step 2: Convert to fraction form
    18,525.56/25,565.22 = 10,142/x
  3. Step 3: Cross multiply
    18,525.56x = 25,565.22 × 10,142
  4. Step 4: Simplify right side
    18,525.56x = 259,282,461.24
  5. Step 5: Solve for x
    x = 259,282,461.24/18,525.56
  6. Step 6: Final answer
    x = 13,995.93

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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.