Home / 3,213-4,811.76-1,565.52

Finding the Fourth Proportional to 3,213, 4,811.76 and 1,565.52

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Solution

The fourth proportional to 3,213, 4,811.76 and 1,565.52 is: 2,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 4,811.76 = 1,565.52 : x
  2. Step 2: Convert to fraction form
    3,213/4,811.76 = 1,565.52/x
  3. Step 3: Cross multiply
    3,213x = 4,811.76 × 1,565.52
  4. Step 4: Simplify right side
    3,213x = 7,532,906.52
  5. Step 5: Solve for x
    x = 7,532,906.52/3,213
  6. Step 6: Final answer
    x = 2,344.51

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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.