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Finding the Fourth Proportional to 2,732.55, 4,099.77 and 977.55

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Solution

The fourth proportional to 2,732.55, 4,099.77 and 977.55 is: 1,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.55 : 4,099.77 = 977.55 : x
  2. Step 2: Convert to fraction form
    2,732.55/4,099.77 = 977.55/x
  3. Step 3: Cross multiply
    2,732.55x = 4,099.77 × 977.55
  4. Step 4: Simplify right side
    2,732.55x = 4,007,730.16
  5. Step 5: Solve for x
    x = 4,007,730.16/2,732.55
  6. Step 6: Final answer
    x = 1,466.66

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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.