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Finding the Fourth Proportional to 1,993.49, 2,988.20 and 824.32

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Solution

The fourth proportional to 1,993.49, 2,988.20 and 824.32 is: 1,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.49 : 2,988.20 = 824.32 : x
  2. Step 2: Convert to fraction form
    1,993.49/2,988.20 = 824.32/x
  3. Step 3: Cross multiply
    1,993.49x = 2,988.20 × 824.32
  4. Step 4: Simplify right side
    1,993.49x = 2,463,227.61
  5. Step 5: Solve for x
    x = 2,463,227.61/1,993.49
  6. Step 6: Final answer
    x = 1,235.64

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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.