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Finding the Fourth Proportional to 2,407.84, 3,611.77 and 1,020.83

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Solution

The fourth proportional to 2,407.84, 3,611.77 and 1,020.83 is: 1,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.84 : 3,611.77 = 1,020.83 : x
  2. Step 2: Convert to fraction form
    2,407.84/3,611.77 = 1,020.83/x
  3. Step 3: Cross multiply
    2,407.84x = 3,611.77 × 1,020.83
  4. Step 4: Simplify right side
    2,407.84x = 3,686,982.56
  5. Step 5: Solve for x
    x = 3,686,982.56/2,407.84
  6. Step 6: Final answer
    x = 1,531.24

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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.