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Finding the Fourth Proportional to 9,171.96, 12,657.28 and 4,980.20

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Solution

The fourth proportional to 9,171.96, 12,657.28 and 4,980.20 is: 6,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.96 : 12,657.28 = 4,980.20 : x
  2. Step 2: Convert to fraction form
    9,171.96/12,657.28 = 4,980.20/x
  3. Step 3: Cross multiply
    9,171.96x = 12,657.28 × 4,980.20
  4. Step 4: Simplify right side
    9,171.96x = 63,035,785.86
  5. Step 5: Solve for x
    x = 63,035,785.86/9,171.96
  6. Step 6: Final answer
    x = 6,872.66

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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.