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Finding the Fourth Proportional to 5,347.72, 8,021.82 and 1,885

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Solution

The fourth proportional to 5,347.72, 8,021.82 and 1,885 is: 2,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.72 : 8,021.82 = 1,885 : x
  2. Step 2: Convert to fraction form
    5,347.72/8,021.82 = 1,885/x
  3. Step 3: Cross multiply
    5,347.72x = 8,021.82 × 1,885
  4. Step 4: Simplify right side
    5,347.72x = 15,121,130.70
  5. Step 5: Solve for x
    x = 15,121,130.70/5,347.72
  6. Step 6: Final answer
    x = 2,827.58

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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.