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Finding the Fourth Proportional to 6,986.64, 10,479.84 and 2,308.80

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Solution

The fourth proportional to 6,986.64, 10,479.84 and 2,308.80 is: 3,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.64 : 10,479.84 = 2,308.80 : x
  2. Step 2: Convert to fraction form
    6,986.64/10,479.84 = 2,308.80/x
  3. Step 3: Cross multiply
    6,986.64x = 10,479.84 × 2,308.80
  4. Step 4: Simplify right side
    6,986.64x = 24,195,854.59
  5. Step 5: Solve for x
    x = 24,195,854.59/6,986.64
  6. Step 6: Final answer
    x = 3,463.16

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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.