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Finding the Fourth Proportional to 1,867.27, 2,800.67 and 771.49

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Solution

The fourth proportional to 1,867.27, 2,800.67 and 771.49 is: 1,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.27 : 2,800.67 = 771.49 : x
  2. Step 2: Convert to fraction form
    1,867.27/2,800.67 = 771.49/x
  3. Step 3: Cross multiply
    1,867.27x = 2,800.67 × 771.49
  4. Step 4: Simplify right side
    1,867.27x = 2,160,688.90
  5. Step 5: Solve for x
    x = 2,160,688.90/1,867.27
  6. Step 6: Final answer
    x = 1,157.14

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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.