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Finding the Fourth Proportional to 4,881.16, 7,321.76 and 1,958.78

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Solution

The fourth proportional to 4,881.16, 7,321.76 and 1,958.78 is: 2,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.16 : 7,321.76 = 1,958.78 : x
  2. Step 2: Convert to fraction form
    4,881.16/7,321.76 = 1,958.78/x
  3. Step 3: Cross multiply
    4,881.16x = 7,321.76 × 1,958.78
  4. Step 4: Simplify right side
    4,881.16x = 14,341,732.91
  5. Step 5: Solve for x
    x = 14,341,732.91/4,881.16
  6. Step 6: Final answer
    x = 2,938.18

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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.