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Finding the Fourth Proportional to 6,508.92, 8,978.94 and 4,146.96

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Solution

The fourth proportional to 6,508.92, 8,978.94 and 4,146.96 is: 5,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.92 : 8,978.94 = 4,146.96 : x
  2. Step 2: Convert to fraction form
    6,508.92/8,978.94 = 4,146.96/x
  3. Step 3: Cross multiply
    6,508.92x = 8,978.94 × 4,146.96
  4. Step 4: Simplify right side
    6,508.92x = 37,235,305.02
  5. Step 5: Solve for x
    x = 37,235,305.02/6,508.92
  6. Step 6: Final answer
    x = 5,720.66

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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.