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Finding the Fourth Proportional to 25,763.78, 38,660.29 and 10,971.16

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Solution

The fourth proportional to 25,763.78, 38,660.29 and 10,971.16 is: 16,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763.78 : 38,660.29 = 10,971.16 : x
  2. Step 2: Convert to fraction form
    25,763.78/38,660.29 = 10,971.16/x
  3. Step 3: Cross multiply
    25,763.78x = 38,660.29 × 10,971.16
  4. Step 4: Simplify right side
    25,763.78x = 424,148,103.16
  5. Step 5: Solve for x
    x = 424,148,103.16/25,763.78
  6. Step 6: Final answer
    x = 16,462.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.