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Finding the Fourth Proportional to 6,174.65, 8,521.16 and 3,655.85

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Solution

The fourth proportional to 6,174.65, 8,521.16 and 3,655.85 is: 5,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.65 : 8,521.16 = 3,655.85 : x
  2. Step 2: Convert to fraction form
    6,174.65/8,521.16 = 3,655.85/x
  3. Step 3: Cross multiply
    6,174.65x = 8,521.16 × 3,655.85
  4. Step 4: Simplify right side
    6,174.65x = 31,152,021.90
  5. Step 5: Solve for x
    x = 31,152,021.90/6,174.65
  6. Step 6: Final answer
    x = 5,045.15

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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.