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Finding the Fourth Proportional to 5,781, 7,977.84 and 3,297

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Solution

The fourth proportional to 5,781, 7,977.84 and 3,297 is: 4,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781 : 7,977.84 = 3,297 : x
  2. Step 2: Convert to fraction form
    5,781/7,977.84 = 3,297/x
  3. Step 3: Cross multiply
    5,781x = 7,977.84 × 3,297
  4. Step 4: Simplify right side
    5,781x = 26,302,938.48
  5. Step 5: Solve for x
    x = 26,302,938.48/5,781
  6. Step 6: Final answer
    x = 4,549.89

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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.