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Finding the Fourth Proportional to 3,999.52, 5,999.78 and 2,148.08

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Solution

The fourth proportional to 3,999.52, 5,999.78 and 2,148.08 is: 3,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.52 : 5,999.78 = 2,148.08 : x
  2. Step 2: Convert to fraction form
    3,999.52/5,999.78 = 2,148.08/x
  3. Step 3: Cross multiply
    3,999.52x = 5,999.78 × 2,148.08
  4. Step 4: Simplify right side
    3,999.52x = 12,888,007.42
  5. Step 5: Solve for x
    x = 12,888,007.42/3,999.52
  6. Step 6: Final answer
    x = 3,222.39

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1.5x scale

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.