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Finding the Fourth Proportional to 2,444.50, 3,666.75 and 713.14

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Solution

The fourth proportional to 2,444.50, 3,666.75 and 713.14 is: 1,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.50 : 3,666.75 = 713.14 : x
  2. Step 2: Convert to fraction form
    2,444.50/3,666.75 = 713.14/x
  3. Step 3: Cross multiply
    2,444.50x = 3,666.75 × 713.14
  4. Step 4: Simplify right side
    2,444.50x = 2,614,906.10
  5. Step 5: Solve for x
    x = 2,614,906.10/2,444.50
  6. Step 6: Final answer
    x = 1,069.71

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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.