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Finding the Fourth Proportional to 2,085, 2,877.56 and 1,338.68

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Solution

The fourth proportional to 2,085, 2,877.56 and 1,338.68 is: 1,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085 : 2,877.56 = 1,338.68 : x
  2. Step 2: Convert to fraction form
    2,085/2,877.56 = 1,338.68/x
  3. Step 3: Cross multiply
    2,085x = 2,877.56 × 1,338.68
  4. Step 4: Simplify right side
    2,085x = 3,852,132.02
  5. Step 5: Solve for x
    x = 3,852,132.02/2,085
  6. Step 6: Final answer
    x = 1,847.55

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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.