Home / 1,608.31-2,411.09-1,531.76

Finding the Fourth Proportional to 1,608.31, 2,411.09 and 1,531.76

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Solution

The fourth proportional to 1,608.31, 2,411.09 and 1,531.76 is: 2,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.31 : 2,411.09 = 1,531.76 : x
  2. Step 2: Convert to fraction form
    1,608.31/2,411.09 = 1,531.76/x
  3. Step 3: Cross multiply
    1,608.31x = 2,411.09 × 1,531.76
  4. Step 4: Simplify right side
    1,608.31x = 3,693,211.22
  5. Step 5: Solve for x
    x = 3,693,211.22/1,608.31
  6. Step 6: Final answer
    x = 2,296.33

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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.