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Finding the Fourth Proportional to 1,873.96, 2,585.28 and 1,201.96

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Solution

The fourth proportional to 1,873.96, 2,585.28 and 1,201.96 is: 1,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.96 : 2,585.28 = 1,201.96 : x
  2. Step 2: Convert to fraction form
    1,873.96/2,585.28 = 1,201.96/x
  3. Step 3: Cross multiply
    1,873.96x = 2,585.28 × 1,201.96
  4. Step 4: Simplify right side
    1,873.96x = 3,107,403.15
  5. Step 5: Solve for x
    x = 3,107,403.15/1,873.96
  6. Step 6: Final answer
    x = 1,658.20

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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.