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Finding the Fourth Proportional to 3,100.65, 4,649.76 and 1,020.17

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Solution

The fourth proportional to 3,100.65, 4,649.76 and 1,020.17 is: 1,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.65 : 4,649.76 = 1,020.17 : x
  2. Step 2: Convert to fraction form
    3,100.65/4,649.76 = 1,020.17/x
  3. Step 3: Cross multiply
    3,100.65x = 4,649.76 × 1,020.17
  4. Step 4: Simplify right side
    3,100.65x = 4,743,545.66
  5. Step 5: Solve for x
    x = 4,743,545.66/3,100.65
  6. Step 6: Final answer
    x = 1,529.86

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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.