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Finding the Fourth Proportional to 2,428.75, 3,643.14 and 968.27

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Solution

The fourth proportional to 2,428.75, 3,643.14 and 968.27 is: 1,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.75 : 3,643.14 = 968.27 : x
  2. Step 2: Convert to fraction form
    2,428.75/3,643.14 = 968.27/x
  3. Step 3: Cross multiply
    2,428.75x = 3,643.14 × 968.27
  4. Step 4: Simplify right side
    2,428.75x = 3,527,543.17
  5. Step 5: Solve for x
    x = 3,527,543.17/2,428.75
  6. Step 6: Final answer
    x = 1,452.41

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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.