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Finding the Fourth Proportional to 2,998.81, 4,497.14 and 1,267.57

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Solution

The fourth proportional to 2,998.81, 4,497.14 and 1,267.57 is: 1,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.81 : 4,497.14 = 1,267.57 : x
  2. Step 2: Convert to fraction form
    2,998.81/4,497.14 = 1,267.57/x
  3. Step 3: Cross multiply
    2,998.81x = 4,497.14 × 1,267.57
  4. Step 4: Simplify right side
    2,998.81x = 5,700,444.65
  5. Step 5: Solve for x
    x = 5,700,444.65/2,998.81
  6. Step 6: Final answer
    x = 1,900.90

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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.