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Finding the Fourth Proportional to 3,947.68, 5,470.84 and 3,892

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Solution

The fourth proportional to 3,947.68, 5,470.84 and 3,892 is: 5,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.68 : 5,470.84 = 3,892 : x
  2. Step 2: Convert to fraction form
    3,947.68/5,470.84 = 3,892/x
  3. Step 3: Cross multiply
    3,947.68x = 5,470.84 × 3,892
  4. Step 4: Simplify right side
    3,947.68x = 21,292,509.28
  5. Step 5: Solve for x
    x = 21,292,509.28/3,947.68
  6. Step 6: Final answer
    x = 5,393.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.