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Finding the Fourth Proportional to 7,906.68, 10,914.84 and 5,639.76

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Solution

The fourth proportional to 7,906.68, 10,914.84 and 5,639.76 is: 7,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.68 : 10,914.84 = 5,639.76 : x
  2. Step 2: Convert to fraction form
    7,906.68/10,914.84 = 5,639.76/x
  3. Step 3: Cross multiply
    7,906.68x = 10,914.84 × 5,639.76
  4. Step 4: Simplify right side
    7,906.68x = 61,557,078.04
  5. Step 5: Solve for x
    x = 61,557,078.04/7,906.68
  6. Step 6: Final answer
    x = 7,785.45

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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.