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Finding the Fourth Proportional to 3,002.67, 4,492.80 and 1,934.21

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Solution

The fourth proportional to 3,002.67, 4,492.80 and 1,934.21 is: 2,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.67 : 4,492.80 = 1,934.21 : x
  2. Step 2: Convert to fraction form
    3,002.67/4,492.80 = 1,934.21/x
  3. Step 3: Cross multiply
    3,002.67x = 4,492.80 × 1,934.21
  4. Step 4: Simplify right side
    3,002.67x = 8,690,029.92
  5. Step 5: Solve for x
    x = 8,690,029.92/3,002.67
  6. Step 6: Final answer
    x = 2,894.10

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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.