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Finding the Fourth Proportional to 6,454.96, 8,849.83 and 6,338.32

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Solution

The fourth proportional to 6,454.96, 8,849.83 and 6,338.32 is: 8,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.96 : 8,849.83 = 6,338.32 : x
  2. Step 2: Convert to fraction form
    6,454.96/8,849.83 = 6,338.32/x
  3. Step 3: Cross multiply
    6,454.96x = 8,849.83 × 6,338.32
  4. Step 4: Simplify right side
    6,454.96x = 56,092,986.47
  5. Step 5: Solve for x
    x = 56,092,986.47/6,454.96
  6. Step 6: Final answer
    x = 8,689.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.