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Finding the Fourth Proportional to 6,870, 10,294.20 and 4,785.60

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Solution

The fourth proportional to 6,870, 10,294.20 and 4,785.60 is: 7,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870 : 10,294.20 = 4,785.60 : x
  2. Step 2: Convert to fraction form
    6,870/10,294.20 = 4,785.60/x
  3. Step 3: Cross multiply
    6,870x = 10,294.20 × 4,785.60
  4. Step 4: Simplify right side
    6,870x = 49,263,923.52
  5. Step 5: Solve for x
    x = 49,263,923.52/6,870
  6. Step 6: Final answer
    x = 7,170.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.