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Finding the Fourth Proportional to 2,161.55, 3,239.81 and 1,237.55

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Solution

The fourth proportional to 2,161.55, 3,239.81 and 1,237.55 is: 1,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.55 : 3,239.81 = 1,237.55 : x
  2. Step 2: Convert to fraction form
    2,161.55/3,239.81 = 1,237.55/x
  3. Step 3: Cross multiply
    2,161.55x = 3,239.81 × 1,237.55
  4. Step 4: Simplify right side
    2,161.55x = 4,009,409.12
  5. Step 5: Solve for x
    x = 4,009,409.12/2,161.55
  6. Step 6: Final answer
    x = 1,854.87

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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.