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Finding the Fourth Proportional to 1,968.87, 2,952.57 and 652.38

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Solution

The fourth proportional to 1,968.87, 2,952.57 and 652.38 is: 978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.87 : 2,952.57 = 652.38 : x
  2. Step 2: Convert to fraction form
    1,968.87/2,952.57 = 652.38/x
  3. Step 3: Cross multiply
    1,968.87x = 2,952.57 × 652.38
  4. Step 4: Simplify right side
    1,968.87x = 1,926,197.62
  5. Step 5: Solve for x
    x = 1,926,197.62/1,968.87
  6. Step 6: Final answer
    x = 978.33

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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.