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Finding the Fourth Proportional to 2,809.55, 4,211.12 and 1,711.49

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Solution

The fourth proportional to 2,809.55, 4,211.12 and 1,711.49 is: 2,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.55 : 4,211.12 = 1,711.49 : x
  2. Step 2: Convert to fraction form
    2,809.55/4,211.12 = 1,711.49/x
  3. Step 3: Cross multiply
    2,809.55x = 4,211.12 × 1,711.49
  4. Step 4: Simplify right side
    2,809.55x = 7,207,272.99
  5. Step 5: Solve for x
    x = 7,207,272.99/2,809.55
  6. Step 6: Final answer
    x = 2,565.27

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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.