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Finding the Fourth Proportional to 25,981.16, 38,978.78 and 21,811.24

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Solution

The fourth proportional to 25,981.16, 38,978.78 and 21,811.24 is: 32,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,981.16 : 38,978.78 = 21,811.24 : x
  2. Step 2: Convert to fraction form
    25,981.16/38,978.78 = 21,811.24/x
  3. Step 3: Cross multiply
    25,981.16x = 38,978.78 × 21,811.24
  4. Step 4: Simplify right side
    25,981.16x = 850,175,525.49
  5. Step 5: Solve for x
    x = 850,175,525.49/25,981.16
  6. Step 6: Final answer
    x = 32,722.77

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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.