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Finding the Fourth Proportional to 5,639.92, 7,785.27 and 5,049.43

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Solution

The fourth proportional to 5,639.92, 7,785.27 and 5,049.43 is: 6,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.92 : 7,785.27 = 5,049.43 : x
  2. Step 2: Convert to fraction form
    5,639.92/7,785.27 = 5,049.43/x
  3. Step 3: Cross multiply
    5,639.92x = 7,785.27 × 5,049.43
  4. Step 4: Simplify right side
    5,639.92x = 39,311,175.90
  5. Step 5: Solve for x
    x = 39,311,175.90/5,639.92
  6. Step 6: Final answer
    x = 6,970.17

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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.