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Finding the Fourth Proportional to 25,836, 35,648.16 and 15,221.76

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Solution

The fourth proportional to 25,836, 35,648.16 and 15,221.76 is: 21,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,836 : 35,648.16 = 15,221.76 : x
  2. Step 2: Convert to fraction form
    25,836/35,648.16 = 15,221.76/x
  3. Step 3: Cross multiply
    25,836x = 35,648.16 × 15,221.76
  4. Step 4: Simplify right side
    25,836x = 542,627,735.96
  5. Step 5: Solve for x
    x = 542,627,735.96/25,836
  6. Step 6: Final answer
    x = 21,002.78

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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.