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Finding the Fourth Proportional to 1,822.12, 2,732.98 and 652.08

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Solution

The fourth proportional to 1,822.12, 2,732.98 and 652.08 is: 978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.12 : 2,732.98 = 652.08 : x
  2. Step 2: Convert to fraction form
    1,822.12/2,732.98 = 652.08/x
  3. Step 3: Cross multiply
    1,822.12x = 2,732.98 × 652.08
  4. Step 4: Simplify right side
    1,822.12x = 1,782,121.60
  5. Step 5: Solve for x
    x = 1,782,121.60/1,822.12
  6. Step 6: Final answer
    x = 978.05

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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.