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Finding the Fourth Proportional to 2,718.83, 3,748.50 and 2,345.09

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Solution

The fourth proportional to 2,718.83, 3,748.50 and 2,345.09 is: 3,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.83 : 3,748.50 = 2,345.09 : x
  2. Step 2: Convert to fraction form
    2,718.83/3,748.50 = 2,345.09/x
  3. Step 3: Cross multiply
    2,718.83x = 3,748.50 × 2,345.09
  4. Step 4: Simplify right side
    2,718.83x = 8,790,551.12
  5. Step 5: Solve for x
    x = 8,790,551.12/2,718.83
  6. Step 6: Final answer
    x = 3,233.21

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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.