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Finding the Fourth Proportional to 5,868.14, 8,100.24 and 3,881.40

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Solution

The fourth proportional to 5,868.14, 8,100.24 and 3,881.40 is: 5,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.14 : 8,100.24 = 3,881.40 : x
  2. Step 2: Convert to fraction form
    5,868.14/8,100.24 = 3,881.40/x
  3. Step 3: Cross multiply
    5,868.14x = 8,100.24 × 3,881.40
  4. Step 4: Simplify right side
    5,868.14x = 31,440,271.54
  5. Step 5: Solve for x
    x = 31,440,271.54/5,868.14
  6. Step 6: Final answer
    x = 5,357.79

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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.