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Finding the Fourth Proportional to 2,012.19, 3,018.87 and 713.76

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Solution

The fourth proportional to 2,012.19, 3,018.87 and 713.76 is: 1,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.19 : 3,018.87 = 713.76 : x
  2. Step 2: Convert to fraction form
    2,012.19/3,018.87 = 713.76/x
  3. Step 3: Cross multiply
    2,012.19x = 3,018.87 × 713.76
  4. Step 4: Simplify right side
    2,012.19x = 2,154,748.65
  5. Step 5: Solve for x
    x = 2,154,748.65/2,012.19
  6. Step 6: Final answer
    x = 1,070.85

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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.