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Finding the Fourth Proportional to 3,953.78, 5,932.38 and 1,875.26

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Solution

The fourth proportional to 3,953.78, 5,932.38 and 1,875.26 is: 2,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.78 : 5,932.38 = 1,875.26 : x
  2. Step 2: Convert to fraction form
    3,953.78/5,932.38 = 1,875.26/x
  3. Step 3: Cross multiply
    3,953.78x = 5,932.38 × 1,875.26
  4. Step 4: Simplify right side
    3,953.78x = 11,124,725.26
  5. Step 5: Solve for x
    x = 11,124,725.26/3,953.78
  6. Step 6: Final answer
    x = 2,813.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.