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Finding the Fourth Proportional to 5,783, 7,981.62 and 3,299

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Solution

The fourth proportional to 5,783, 7,981.62 and 3,299 is: 4,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783 : 7,981.62 = 3,299 : x
  2. Step 2: Convert to fraction form
    5,783/7,981.62 = 3,299/x
  3. Step 3: Cross multiply
    5,783x = 7,981.62 × 3,299
  4. Step 4: Simplify right side
    5,783x = 26,331,364.38
  5. Step 5: Solve for x
    x = 26,331,364.38/5,783
  6. Step 6: Final answer
    x = 4,553.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.