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Finding the Fourth Proportional to 4,275, 5,897.52 and 2,505.78

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Solution

The fourth proportional to 4,275, 5,897.52 and 2,505.78 is: 3,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275 : 5,897.52 = 2,505.78 : x
  2. Step 2: Convert to fraction form
    4,275/5,897.52 = 2,505.78/x
  3. Step 3: Cross multiply
    4,275x = 5,897.52 × 2,505.78
  4. Step 4: Simplify right side
    4,275x = 14,777,887.67
  5. Step 5: Solve for x
    x = 14,777,887.67/4,275
  6. Step 6: Final answer
    x = 3,456.82

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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.