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Finding the Fourth Proportional to 19,797, 27,319.86 and 10,965

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Solution

The fourth proportional to 19,797, 27,319.86 and 10,965 is: 15,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797 : 27,319.86 = 10,965 : x
  2. Step 2: Convert to fraction form
    19,797/27,319.86 = 10,965/x
  3. Step 3: Cross multiply
    19,797x = 27,319.86 × 10,965
  4. Step 4: Simplify right side
    19,797x = 299,562,264.90
  5. Step 5: Solve for x
    x = 299,562,264.90/19,797
  6. Step 6: Final answer
    x = 15,131.70

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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.