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Finding the Fourth Proportional to 3,106.48, 4,659.92 and 915

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Solution

The fourth proportional to 3,106.48, 4,659.92 and 915 is: 1,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.48 : 4,659.92 = 915 : x
  2. Step 2: Convert to fraction form
    3,106.48/4,659.92 = 915/x
  3. Step 3: Cross multiply
    3,106.48x = 4,659.92 × 915
  4. Step 4: Simplify right side
    3,106.48x = 4,263,826.80
  5. Step 5: Solve for x
    x = 4,263,826.80/3,106.48
  6. Step 6: Final answer
    x = 1,372.56

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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.