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Finding the Fourth Proportional to 6,465.71, 8,923.49 and 3,947.28

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Solution

The fourth proportional to 6,465.71, 8,923.49 and 3,947.28 is: 5,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.71 : 8,923.49 = 3,947.28 : x
  2. Step 2: Convert to fraction form
    6,465.71/8,923.49 = 3,947.28/x
  3. Step 3: Cross multiply
    6,465.71x = 8,923.49 × 3,947.28
  4. Step 4: Simplify right side
    6,465.71x = 35,223,493.87
  5. Step 5: Solve for x
    x = 35,223,493.87/6,465.71
  6. Step 6: Final answer
    x = 5,447.74

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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.