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Finding the Fourth Proportional to 9,621, 13,264.97 and 8,029.94

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Solution

The fourth proportional to 9,621, 13,264.97 and 8,029.94 is: 11,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621 : 13,264.97 = 8,029.94 : x
  2. Step 2: Convert to fraction form
    9,621/13,264.97 = 8,029.94/x
  3. Step 3: Cross multiply
    9,621x = 13,264.97 × 8,029.94
  4. Step 4: Simplify right side
    9,621x = 106,516,806.73
  5. Step 5: Solve for x
    x = 106,516,806.73/9,621
  6. Step 6: Final answer
    x = 11,071.28

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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.