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Finding the Fourth Proportional to 1,867.55, 2,797.67 and 1,135.31

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Solution

The fourth proportional to 1,867.55, 2,797.67 and 1,135.31 is: 1,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.55 : 2,797.67 = 1,135.31 : x
  2. Step 2: Convert to fraction form
    1,867.55/2,797.67 = 1,135.31/x
  3. Step 3: Cross multiply
    1,867.55x = 2,797.67 × 1,135.31
  4. Step 4: Simplify right side
    1,867.55x = 3,176,203.06
  5. Step 5: Solve for x
    x = 3,176,203.06/1,867.55
  6. Step 6: Final answer
    x = 1,700.74

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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.