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Finding the Fourth Proportional to 6,174, 8,521.20 and 3,690

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Solution

The fourth proportional to 6,174, 8,521.20 and 3,690 is: 5,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174 : 8,521.20 = 3,690 : x
  2. Step 2: Convert to fraction form
    6,174/8,521.20 = 3,690/x
  3. Step 3: Cross multiply
    6,174x = 8,521.20 × 3,690
  4. Step 4: Simplify right side
    6,174x = 31,443,228.00
  5. Step 5: Solve for x
    x = 31,443,228.00/6,174
  6. Step 6: Final answer
    x = 5,092.85

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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.