Home / 5,098.30-7,644.13-2,138.64

Finding the Fourth Proportional to 5,098.30, 7,644.13 and 2,138.64

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Solution

The fourth proportional to 5,098.30, 7,644.13 and 2,138.64 is: 3,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.30 : 7,644.13 = 2,138.64 : x
  2. Step 2: Convert to fraction form
    5,098.30/7,644.13 = 2,138.64/x
  3. Step 3: Cross multiply
    5,098.30x = 7,644.13 × 2,138.64
  4. Step 4: Simplify right side
    5,098.30x = 16,348,055.46
  5. Step 5: Solve for x
    x = 16,348,055.46/5,098.30
  6. Step 6: Final answer
    x = 3,206.57

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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.