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Finding the Fourth Proportional to 2,486.55, 3,721.83 and 1,314.90

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Solution

The fourth proportional to 2,486.55, 3,721.83 and 1,314.90 is: 1,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.55 : 3,721.83 = 1,314.90 : x
  2. Step 2: Convert to fraction form
    2,486.55/3,721.83 = 1,314.90/x
  3. Step 3: Cross multiply
    2,486.55x = 3,721.83 × 1,314.90
  4. Step 4: Simplify right side
    2,486.55x = 4,893,834.27
  5. Step 5: Solve for x
    x = 4,893,834.27/2,486.55
  6. Step 6: Final answer
    x = 1,968.12

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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.