Home / 2,094.38-3,140.77-688.47

Finding the Fourth Proportional to 2,094.38, 3,140.77 and 688.47

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Solution

The fourth proportional to 2,094.38, 3,140.77 and 688.47 is: 1,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.38 : 3,140.77 = 688.47 : x
  2. Step 2: Convert to fraction form
    2,094.38/3,140.77 = 688.47/x
  3. Step 3: Cross multiply
    2,094.38x = 3,140.77 × 688.47
  4. Step 4: Simplify right side
    2,094.38x = 2,162,325.92
  5. Step 5: Solve for x
    x = 2,162,325.92/2,094.38
  6. Step 6: Final answer
    x = 1,032.44

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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.