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Finding the Fourth Proportional to 2,653.84, 3,981.12 and 922

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Solution

The fourth proportional to 2,653.84, 3,981.12 and 922 is: 1,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.84 : 3,981.12 = 922 : x
  2. Step 2: Convert to fraction form
    2,653.84/3,981.12 = 922/x
  3. Step 3: Cross multiply
    2,653.84x = 3,981.12 × 922
  4. Step 4: Simplify right side
    2,653.84x = 3,670,592.64
  5. Step 5: Solve for x
    x = 3,670,592.64/2,653.84
  6. Step 6: Final answer
    x = 1,383.13

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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.