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Finding the Fourth Proportional to 19,861.36, 27,409 and 10,909.68

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Solution

The fourth proportional to 19,861.36, 27,409 and 10,909.68 is: 15,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.36 : 27,409 = 10,909.68 : x
  2. Step 2: Convert to fraction form
    19,861.36/27,409 = 10,909.68/x
  3. Step 3: Cross multiply
    19,861.36x = 27,409 × 10,909.68
  4. Step 4: Simplify right side
    19,861.36x = 299,023,419.12
  5. Step 5: Solve for x
    x = 299,023,419.12/19,861.36
  6. Step 6: Final answer
    x = 15,055.54

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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.