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Finding the Fourth Proportional to 2,486, 3,727.07 and 1,314.47

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Solution

The fourth proportional to 2,486, 3,727.07 and 1,314.47 is: 1,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486 : 3,727.07 = 1,314.47 : x
  2. Step 2: Convert to fraction form
    2,486/3,727.07 = 1,314.47/x
  3. Step 3: Cross multiply
    2,486x = 3,727.07 × 1,314.47
  4. Step 4: Simplify right side
    2,486x = 4,899,115.13
  5. Step 5: Solve for x
    x = 4,899,115.13/2,486
  6. Step 6: Final answer
    x = 1,970.68

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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.