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Finding the Fourth Proportional to 5,708.86, 7,868.80 and 3,819.77

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Solution

The fourth proportional to 5,708.86, 7,868.80 and 3,819.77 is: 5,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.86 : 7,868.80 = 3,819.77 : x
  2. Step 2: Convert to fraction form
    5,708.86/7,868.80 = 3,819.77/x
  3. Step 3: Cross multiply
    5,708.86x = 7,868.80 × 3,819.77
  4. Step 4: Simplify right side
    5,708.86x = 30,056,957.28
  5. Step 5: Solve for x
    x = 30,056,957.28/5,708.86
  6. Step 6: Final answer
    x = 5,264.97

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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.