Home / 3,207.70-4,812.48-1,565.20

Finding the Fourth Proportional to 3,207.70, 4,812.48 and 1,565.20

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Solution

The fourth proportional to 3,207.70, 4,812.48 and 1,565.20 is: 2,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.70 : 4,812.48 = 1,565.20 : x
  2. Step 2: Convert to fraction form
    3,207.70/4,812.48 = 1,565.20/x
  3. Step 3: Cross multiply
    3,207.70x = 4,812.48 × 1,565.20
  4. Step 4: Simplify right side
    3,207.70x = 7,532,493.70
  5. Step 5: Solve for x
    x = 7,532,493.70/3,207.70
  6. Step 6: Final answer
    x = 2,348.25

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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.