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Finding the Fourth Proportional to 3,188.44, 4,398.78 and 1,947.16

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Solution

The fourth proportional to 3,188.44, 4,398.78 and 1,947.16 is: 2,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.44 : 4,398.78 = 1,947.16 : x
  2. Step 2: Convert to fraction form
    3,188.44/4,398.78 = 1,947.16/x
  3. Step 3: Cross multiply
    3,188.44x = 4,398.78 × 1,947.16
  4. Step 4: Simplify right side
    3,188.44x = 8,565,128.46
  5. Step 5: Solve for x
    x = 8,565,128.46/3,188.44
  6. Step 6: Final answer
    x = 2,686.31

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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.