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Finding the Fourth Proportional to 6,980, 10,470.20 and 1,785.88

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Solution

The fourth proportional to 6,980, 10,470.20 and 1,785.88 is: 2,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980 : 10,470.20 = 1,785.88 : x
  2. Step 2: Convert to fraction form
    6,980/10,470.20 = 1,785.88/x
  3. Step 3: Cross multiply
    6,980x = 10,470.20 × 1,785.88
  4. Step 4: Simplify right side
    6,980x = 18,698,520.78
  5. Step 5: Solve for x
    x = 18,698,520.78/6,980
  6. Step 6: Final answer
    x = 2,678.87

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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.