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Finding the Fourth Proportional to 2,095.80, 3,138.90 and 1,068.60

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Solution

The fourth proportional to 2,095.80, 3,138.90 and 1,068.60 is: 1,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.80 : 3,138.90 = 1,068.60 : x
  2. Step 2: Convert to fraction form
    2,095.80/3,138.90 = 1,068.60/x
  3. Step 3: Cross multiply
    2,095.80x = 3,138.90 × 1,068.60
  4. Step 4: Simplify right side
    2,095.80x = 3,354,228.54
  5. Step 5: Solve for x
    x = 3,354,228.54/2,095.80
  6. Step 6: Final answer
    x = 1,600.45

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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.