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Finding the Fourth Proportional to 1,882.41, 2,822.99 and 649.79

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Solution

The fourth proportional to 1,882.41, 2,822.99 and 649.79 is: 974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.41 : 2,822.99 = 649.79 : x
  2. Step 2: Convert to fraction form
    1,882.41/2,822.99 = 649.79/x
  3. Step 3: Cross multiply
    1,882.41x = 2,822.99 × 649.79
  4. Step 4: Simplify right side
    1,882.41x = 1,834,333.31
  5. Step 5: Solve for x
    x = 1,834,333.31/1,882.41
  6. Step 6: Final answer
    x = 974.46

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1.5x scale

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.