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Finding the Fourth Proportional to 4,212.80, 6,312.80 and 3,982.40

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Solution

The fourth proportional to 4,212.80, 6,312.80 and 3,982.40 is: 5,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.80 : 6,312.80 = 3,982.40 : x
  2. Step 2: Convert to fraction form
    4,212.80/6,312.80 = 3,982.40/x
  3. Step 3: Cross multiply
    4,212.80x = 6,312.80 × 3,982.40
  4. Step 4: Simplify right side
    4,212.80x = 25,140,094.72
  5. Step 5: Solve for x
    x = 25,140,094.72/4,212.80
  6. Step 6: Final answer
    x = 5,967.55

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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.