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Finding the Fourth Proportional to 3,970.92, 5,478.62 and 2,292.12

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Solution

The fourth proportional to 3,970.92, 5,478.62 and 2,292.12 is: 3,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.92 : 5,478.62 = 2,292.12 : x
  2. Step 2: Convert to fraction form
    3,970.92/5,478.62 = 2,292.12/x
  3. Step 3: Cross multiply
    3,970.92x = 5,478.62 × 2,292.12
  4. Step 4: Simplify right side
    3,970.92x = 12,557,654.47
  5. Step 5: Solve for x
    x = 12,557,654.47/3,970.92
  6. Step 6: Final answer
    x = 3,162.40

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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.