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Finding the Fourth Proportional to 3,311.42, 4,569.82 and 1,819.40

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Solution

The fourth proportional to 3,311.42, 4,569.82 and 1,819.40 is: 2,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.42 : 4,569.82 = 1,819.40 : x
  2. Step 2: Convert to fraction form
    3,311.42/4,569.82 = 1,819.40/x
  3. Step 3: Cross multiply
    3,311.42x = 4,569.82 × 1,819.40
  4. Step 4: Simplify right side
    3,311.42x = 8,314,303.11
  5. Step 5: Solve for x
    x = 8,314,303.11/3,311.42
  6. Step 6: Final answer
    x = 2,510.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.