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Finding the Fourth Proportional to 2,010.87, 3,012.16 and 1,491.46

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Solution

The fourth proportional to 2,010.87, 3,012.16 and 1,491.46 is: 2,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.87 : 3,012.16 = 1,491.46 : x
  2. Step 2: Convert to fraction form
    2,010.87/3,012.16 = 1,491.46/x
  3. Step 3: Cross multiply
    2,010.87x = 3,012.16 × 1,491.46
  4. Step 4: Simplify right side
    2,010.87x = 4,492,512.42
  5. Step 5: Solve for x
    x = 4,492,512.42/2,010.87
  6. Step 6: Final answer
    x = 2,234.11

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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.