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Finding the Fourth Proportional to 19,643.82, 27,109.05 and 10,691.90

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Solution

The fourth proportional to 19,643.82, 27,109.05 and 10,691.90 is: 14,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.82 : 27,109.05 = 10,691.90 : x
  2. Step 2: Convert to fraction form
    19,643.82/27,109.05 = 10,691.90/x
  3. Step 3: Cross multiply
    19,643.82x = 27,109.05 × 10,691.90
  4. Step 4: Simplify right side
    19,643.82x = 289,847,177.71
  5. Step 5: Solve for x
    x = 289,847,177.71/19,643.82
  6. Step 6: Final answer
    x = 14,755.14

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1.5x scale

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.