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Finding the Fourth Proportional to 3,886.96, 5,359.68 and 3,046.16

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Solution

The fourth proportional to 3,886.96, 5,359.68 and 3,046.16 is: 4,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.96 : 5,359.68 = 3,046.16 : x
  2. Step 2: Convert to fraction form
    3,886.96/5,359.68 = 3,046.16/x
  3. Step 3: Cross multiply
    3,886.96x = 5,359.68 × 3,046.16
  4. Step 4: Simplify right side
    3,886.96x = 16,326,442.83
  5. Step 5: Solve for x
    x = 16,326,442.83/3,886.96
  6. Step 6: Final answer
    x = 4,200.31

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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.