Home / 5,105.20-7,656.96-1,642

Finding the Fourth Proportional to 5,105.20, 7,656.96 and 1,642

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Solution

The fourth proportional to 5,105.20, 7,656.96 and 1,642 is: 2,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.20 : 7,656.96 = 1,642 : x
  2. Step 2: Convert to fraction form
    5,105.20/7,656.96 = 1,642/x
  3. Step 3: Cross multiply
    5,105.20x = 7,656.96 × 1,642
  4. Step 4: Simplify right side
    5,105.20x = 12,572,728.32
  5. Step 5: Solve for x
    x = 12,572,728.32/5,105.20
  6. Step 6: Final answer
    x = 2,462.73

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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.