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Finding the Fourth Proportional to 2,663.42, 3,995.14 and 1,019.90

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Solution

The fourth proportional to 2,663.42, 3,995.14 and 1,019.90 is: 1,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.42 : 3,995.14 = 1,019.90 : x
  2. Step 2: Convert to fraction form
    2,663.42/3,995.14 = 1,019.90/x
  3. Step 3: Cross multiply
    2,663.42x = 3,995.14 × 1,019.90
  4. Step 4: Simplify right side
    2,663.42x = 4,074,643.29
  5. Step 5: Solve for x
    x = 4,074,643.29/2,663.42
  6. Step 6: Final answer
    x = 1,529.85

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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.