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Finding the Fourth Proportional to 5,641.42, 7,777.94 and 3,869.95

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Solution

The fourth proportional to 5,641.42, 7,777.94 and 3,869.95 is: 5,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.42 : 7,777.94 = 3,869.95 : x
  2. Step 2: Convert to fraction form
    5,641.42/7,777.94 = 3,869.95/x
  3. Step 3: Cross multiply
    5,641.42x = 7,777.94 × 3,869.95
  4. Step 4: Simplify right side
    5,641.42x = 30,100,248.58
  5. Step 5: Solve for x
    x = 30,100,248.58/5,641.42
  6. Step 6: Final answer
    x = 5,335.58

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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.