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Finding the Fourth Proportional to 9,640.87, 13,302.26 and 5,866

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Solution

The fourth proportional to 9,640.87, 13,302.26 and 5,866 is: 8,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.87 : 13,302.26 = 5,866 : x
  2. Step 2: Convert to fraction form
    9,640.87/13,302.26 = 5,866/x
  3. Step 3: Cross multiply
    9,640.87x = 13,302.26 × 5,866
  4. Step 4: Simplify right side
    9,640.87x = 78,031,027.83
  5. Step 5: Solve for x
    x = 78,031,027.83/9,640.87
  6. Step 6: Final answer
    x = 8,093.77

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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.