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Finding the Fourth Proportional to 3,005.61, 4,508.41 and 1,972.15

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Solution

The fourth proportional to 3,005.61, 4,508.41 and 1,972.15 is: 2,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.61 : 4,508.41 = 1,972.15 : x
  2. Step 2: Convert to fraction form
    3,005.61/4,508.41 = 1,972.15/x
  3. Step 3: Cross multiply
    3,005.61x = 4,508.41 × 1,972.15
  4. Step 4: Simplify right side
    3,005.61x = 8,891,257.61
  5. Step 5: Solve for x
    x = 8,891,257.61/3,005.61
  6. Step 6: Final answer
    x = 2,958.22

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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.