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Finding the Fourth Proportional to 6,416, 8,854.08 and 3,472

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Solution

The fourth proportional to 6,416, 8,854.08 and 3,472 is: 4,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 8,854.08 = 3,472 : x
  2. Step 2: Convert to fraction form
    6,416/8,854.08 = 3,472/x
  3. Step 3: Cross multiply
    6,416x = 8,854.08 × 3,472
  4. Step 4: Simplify right side
    6,416x = 30,741,365.76
  5. Step 5: Solve for x
    x = 30,741,365.76/6,416
  6. Step 6: Final answer
    x = 4,791.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.