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Finding the Fourth Proportional to 2,732.79, 4,099.17 and 977.73

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Solution

The fourth proportional to 2,732.79, 4,099.17 and 977.73 is: 1,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.79 : 4,099.17 = 977.73 : x
  2. Step 2: Convert to fraction form
    2,732.79/4,099.17 = 977.73/x
  3. Step 3: Cross multiply
    2,732.79x = 4,099.17 × 977.73
  4. Step 4: Simplify right side
    2,732.79x = 4,007,881.48
  5. Step 5: Solve for x
    x = 4,007,881.48/2,732.79
  6. Step 6: Final answer
    x = 1,466.59

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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.