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Finding the Fourth Proportional to 6,984.80, 10,479.04 and 2,305.52

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Solution

The fourth proportional to 6,984.80, 10,479.04 and 2,305.52 is: 3,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.80 : 10,479.04 = 2,305.52 : x
  2. Step 2: Convert to fraction form
    6,984.80/10,479.04 = 2,305.52/x
  3. Step 3: Cross multiply
    6,984.80x = 10,479.04 × 2,305.52
  4. Step 4: Simplify right side
    6,984.80x = 24,159,636.30
  5. Step 5: Solve for x
    x = 24,159,636.30/6,984.80
  6. Step 6: Final answer
    x = 3,458.89

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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.