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Finding the Fourth Proportional to 25,900.91, 35,743.40 and 15,295.78

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Solution

The fourth proportional to 25,900.91, 35,743.40 and 15,295.78 is: 21,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.91 : 35,743.40 = 15,295.78 : x
  2. Step 2: Convert to fraction form
    25,900.91/35,743.40 = 15,295.78/x
  3. Step 3: Cross multiply
    25,900.91x = 35,743.40 × 15,295.78
  4. Step 4: Simplify right side
    25,900.91x = 546,722,927.66
  5. Step 5: Solve for x
    x = 546,722,927.66/25,900.91
  6. Step 6: Final answer
    x = 21,108.25

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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.