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Finding the Fourth Proportional to 2,653.97, 3,981.47 and 1,010.39

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Solution

The fourth proportional to 2,653.97, 3,981.47 and 1,010.39 is: 1,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.97 : 3,981.47 = 1,010.39 : x
  2. Step 2: Convert to fraction form
    2,653.97/3,981.47 = 1,010.39/x
  3. Step 3: Cross multiply
    2,653.97x = 3,981.47 × 1,010.39
  4. Step 4: Simplify right side
    2,653.97x = 4,022,837.47
  5. Step 5: Solve for x
    x = 4,022,837.47/2,653.97
  6. Step 6: Final answer
    x = 1,515.78

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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.