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Finding the Fourth Proportional to 25,876, 35,707.20 and 15,263.20

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Solution

The fourth proportional to 25,876, 35,707.20 and 15,263.20 is: 21,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876 : 35,707.20 = 15,263.20 : x
  2. Step 2: Convert to fraction form
    25,876/35,707.20 = 15,263.20/x
  3. Step 3: Cross multiply
    25,876x = 35,707.20 × 15,263.20
  4. Step 4: Simplify right side
    25,876x = 545,006,135.04
  5. Step 5: Solve for x
    x = 545,006,135.04/25,876
  6. Step 6: Final answer
    x = 21,062.23

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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.