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Finding the Fourth Proportional to 2,807.61, 4,211.42 and 1,076.64

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Solution

The fourth proportional to 2,807.61, 4,211.42 and 1,076.64 is: 1,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.61 : 4,211.42 = 1,076.64 : x
  2. Step 2: Convert to fraction form
    2,807.61/4,211.42 = 1,076.64/x
  3. Step 3: Cross multiply
    2,807.61x = 4,211.42 × 1,076.64
  4. Step 4: Simplify right side
    2,807.61x = 4,534,177.85
  5. Step 5: Solve for x
    x = 4,534,177.85/2,807.61
  6. Step 6: Final answer
    x = 1,614.96

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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.