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Finding the Fourth Proportional to 7,806.04, 11,702.48 and 3,643.85

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Solution

The fourth proportional to 7,806.04, 11,702.48 and 3,643.85 is: 5,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.04 : 11,702.48 = 3,643.85 : x
  2. Step 2: Convert to fraction form
    7,806.04/11,702.48 = 3,643.85/x
  3. Step 3: Cross multiply
    7,806.04x = 11,702.48 × 3,643.85
  4. Step 4: Simplify right side
    7,806.04x = 42,642,092.78
  5. Step 5: Solve for x
    x = 42,642,092.78/7,806.04
  6. Step 6: Final answer
    x = 5,462.71

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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.