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Finding the Fourth Proportional to 3,957.86, 5,934.36 and 1,875.05

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Solution

The fourth proportional to 3,957.86, 5,934.36 and 1,875.05 is: 2,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.86 : 5,934.36 = 1,875.05 : x
  2. Step 2: Convert to fraction form
    3,957.86/5,934.36 = 1,875.05/x
  3. Step 3: Cross multiply
    3,957.86x = 5,934.36 × 1,875.05
  4. Step 4: Simplify right side
    3,957.86x = 11,127,221.33
  5. Step 5: Solve for x
    x = 11,127,221.33/3,957.86
  6. Step 6: Final answer
    x = 2,811.42

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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.