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Finding the Fourth Proportional to 6,984, 10,476.63 and 1,789.92

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Solution

The fourth proportional to 6,984, 10,476.63 and 1,789.92 is: 2,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 10,476.63 = 1,789.92 : x
  2. Step 2: Convert to fraction form
    6,984/10,476.63 = 1,789.92/x
  3. Step 3: Cross multiply
    6,984x = 10,476.63 × 1,789.92
  4. Step 4: Simplify right side
    6,984x = 18,752,329.57
  5. Step 5: Solve for x
    x = 18,752,329.57/6,984
  6. Step 6: Final answer
    x = 2,685.04

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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.