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Finding the Fourth Proportional to 2,718.81, 3,749.81 and 1,723.14

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Solution

The fourth proportional to 2,718.81, 3,749.81 and 1,723.14 is: 2,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.81 : 3,749.81 = 1,723.14 : x
  2. Step 2: Convert to fraction form
    2,718.81/3,749.81 = 1,723.14/x
  3. Step 3: Cross multiply
    2,718.81x = 3,749.81 × 1,723.14
  4. Step 4: Simplify right side
    2,718.81x = 6,461,438.99
  5. Step 5: Solve for x
    x = 6,461,438.99/2,718.81
  6. Step 6: Final answer
    x = 2,376.57

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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.