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Finding the Fourth Proportional to 6,400.75, 8,833.14 and 3,606.25

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Solution

The fourth proportional to 6,400.75, 8,833.14 and 3,606.25 is: 4,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.75 : 8,833.14 = 3,606.25 : x
  2. Step 2: Convert to fraction form
    6,400.75/8,833.14 = 3,606.25/x
  3. Step 3: Cross multiply
    6,400.75x = 8,833.14 × 3,606.25
  4. Step 4: Simplify right side
    6,400.75x = 31,854,511.13
  5. Step 5: Solve for x
    x = 31,854,511.13/6,400.75
  6. Step 6: Final answer
    x = 4,976.68

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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.