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Finding the Fourth Proportional to 6,416.78, 8,854.89 and 3,584.11

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Solution

The fourth proportional to 6,416.78, 8,854.89 and 3,584.11 is: 4,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.78 : 8,854.89 = 3,584.11 : x
  2. Step 2: Convert to fraction form
    6,416.78/8,854.89 = 3,584.11/x
  3. Step 3: Cross multiply
    6,416.78x = 8,854.89 × 3,584.11
  4. Step 4: Simplify right side
    6,416.78x = 31,736,899.80
  5. Step 5: Solve for x
    x = 31,736,899.80/6,416.78
  6. Step 6: Final answer
    x = 4,945.92

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1.5x scale

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.