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Finding the Fourth Proportional to 2,140.67, 2,955.12 and 1,355.78

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Solution

The fourth proportional to 2,140.67, 2,955.12 and 1,355.78 is: 1,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.67 : 2,955.12 = 1,355.78 : x
  2. Step 2: Convert to fraction form
    2,140.67/2,955.12 = 1,355.78/x
  3. Step 3: Cross multiply
    2,140.67x = 2,955.12 × 1,355.78
  4. Step 4: Simplify right side
    2,140.67x = 4,006,494.90
  5. Step 5: Solve for x
    x = 4,006,494.90/2,140.67
  6. Step 6: Final answer
    x = 1,871.61

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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.