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Finding the Fourth Proportional to 6,387.96, 8,817.02 and 4,971.32

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Solution

The fourth proportional to 6,387.96, 8,817.02 and 4,971.32 is: 6,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.96 : 8,817.02 = 4,971.32 : x
  2. Step 2: Convert to fraction form
    6,387.96/8,817.02 = 4,971.32/x
  3. Step 3: Cross multiply
    6,387.96x = 8,817.02 × 4,971.32
  4. Step 4: Simplify right side
    6,387.96x = 43,832,227.87
  5. Step 5: Solve for x
    x = 43,832,227.87/6,387.96
  6. Step 6: Final answer
    x = 6,861.69

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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.