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Finding the Fourth Proportional to 8,157.61, 12,216.85 and 6,980.88

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Solution

The fourth proportional to 8,157.61, 12,216.85 and 6,980.88 is: 10,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.61 : 12,216.85 = 6,980.88 : x
  2. Step 2: Convert to fraction form
    8,157.61/12,216.85 = 6,980.88/x
  3. Step 3: Cross multiply
    8,157.61x = 12,216.85 × 6,980.88
  4. Step 4: Simplify right side
    8,157.61x = 85,284,363.83
  5. Step 5: Solve for x
    x = 85,284,363.83/8,157.61
  6. Step 6: Final answer
    x = 10,454.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.