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Finding the Fourth Proportional to 2,531.76, 3,494.07 and 1,537.08

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Solution

The fourth proportional to 2,531.76, 3,494.07 and 1,537.08 is: 2,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.76 : 3,494.07 = 1,537.08 : x
  2. Step 2: Convert to fraction form
    2,531.76/3,494.07 = 1,537.08/x
  3. Step 3: Cross multiply
    2,531.76x = 3,494.07 × 1,537.08
  4. Step 4: Simplify right side
    2,531.76x = 5,370,665.12
  5. Step 5: Solve for x
    x = 5,370,665.12/2,531.76
  6. Step 6: Final answer
    x = 2,121.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.