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Finding the Fourth Proportional to 25,876.50, 35,710.38 and 15,275.22

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Solution

The fourth proportional to 25,876.50, 35,710.38 and 15,275.22 is: 21,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.50 : 35,710.38 = 15,275.22 : x
  2. Step 2: Convert to fraction form
    25,876.50/35,710.38 = 15,275.22/x
  3. Step 3: Cross multiply
    25,876.50x = 35,710.38 × 15,275.22
  4. Step 4: Simplify right side
    25,876.50x = 545,483,910.78
  5. Step 5: Solve for x
    x = 545,483,910.78/25,876.50
  6. Step 6: Final answer
    x = 21,080.28

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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.