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Finding the Fourth Proportional to 3,312.95, 4,944.20 and 3,178.96

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Solution

The fourth proportional to 3,312.95, 4,944.20 and 3,178.96 is: 4,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.95 : 4,944.20 = 3,178.96 : x
  2. Step 2: Convert to fraction form
    3,312.95/4,944.20 = 3,178.96/x
  3. Step 3: Cross multiply
    3,312.95x = 4,944.20 × 3,178.96
  4. Step 4: Simplify right side
    3,312.95x = 15,717,385.78
  5. Step 5: Solve for x
    x = 15,717,385.78/3,312.95
  6. Step 6: Final answer
    x = 4,744.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.