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Finding the Fourth Proportional to 2,407.11, 3,608.16 and 1,019.28

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Solution

The fourth proportional to 2,407.11, 3,608.16 and 1,019.28 is: 1,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.11 : 3,608.16 = 1,019.28 : x
  2. Step 2: Convert to fraction form
    2,407.11/3,608.16 = 1,019.28/x
  3. Step 3: Cross multiply
    2,407.11x = 3,608.16 × 1,019.28
  4. Step 4: Simplify right side
    2,407.11x = 3,677,725.32
  5. Step 5: Solve for x
    x = 3,677,725.32/2,407.11
  6. Step 6: Final answer
    x = 1,527.86

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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.