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Finding the Fourth Proportional to 5,913.84, 8,871.24 and 3,138.48

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Solution

The fourth proportional to 5,913.84, 8,871.24 and 3,138.48 is: 4,707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.84 : 8,871.24 = 3,138.48 : x
  2. Step 2: Convert to fraction form
    5,913.84/8,871.24 = 3,138.48/x
  3. Step 3: Cross multiply
    5,913.84x = 8,871.24 × 3,138.48
  4. Step 4: Simplify right side
    5,913.84x = 27,842,209.32
  5. Step 5: Solve for x
    x = 27,842,209.32/5,913.84
  6. Step 6: Final answer
    x = 4,707.97

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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.