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Finding the Fourth Proportional to 3,985.92, 5,502.84 and 3,099.76

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Solution

The fourth proportional to 3,985.92, 5,502.84 and 3,099.76 is: 4,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.92 : 5,502.84 = 3,099.76 : x
  2. Step 2: Convert to fraction form
    3,985.92/5,502.84 = 3,099.76/x
  3. Step 3: Cross multiply
    3,985.92x = 5,502.84 × 3,099.76
  4. Step 4: Simplify right side
    3,985.92x = 17,057,483.32
  5. Step 5: Solve for x
    x = 17,057,483.32/3,985.92
  6. Step 6: Final answer
    x = 4,279.43

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1.5x scale

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.