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Finding the Fourth Proportional to 1,873.55, 2,585.18 and 1,201.95

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Solution

The fourth proportional to 1,873.55, 2,585.18 and 1,201.95 is: 1,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.55 : 2,585.18 = 1,201.95 : x
  2. Step 2: Convert to fraction form
    1,873.55/2,585.18 = 1,201.95/x
  3. Step 3: Cross multiply
    1,873.55x = 2,585.18 × 1,201.95
  4. Step 4: Simplify right side
    1,873.55x = 3,107,257.10
  5. Step 5: Solve for x
    x = 3,107,257.10/1,873.55
  6. Step 6: Final answer
    x = 1,658.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.