Home / 5,105.32-7,658.02-1,407.75

Finding the Fourth Proportional to 5,105.32, 7,658.02 and 1,407.75

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Solution

The fourth proportional to 5,105.32, 7,658.02 and 1,407.75 is: 2,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.32 : 7,658.02 = 1,407.75 : x
  2. Step 2: Convert to fraction form
    5,105.32/7,658.02 = 1,407.75/x
  3. Step 3: Cross multiply
    5,105.32x = 7,658.02 × 1,407.75
  4. Step 4: Simplify right side
    5,105.32x = 10,780,550.70
  5. Step 5: Solve for x
    x = 10,780,550.70/5,105.32
  6. Step 6: Final answer
    x = 2,111.63

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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.