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Finding the Fourth Proportional to 19,861.32, 27,408.54 and 10,909

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Solution

The fourth proportional to 19,861.32, 27,408.54 and 10,909 is: 15,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.32 : 27,408.54 = 10,909 : x
  2. Step 2: Convert to fraction form
    19,861.32/27,408.54 = 10,909/x
  3. Step 3: Cross multiply
    19,861.32x = 27,408.54 × 10,909
  4. Step 4: Simplify right side
    19,861.32x = 298,999,762.86
  5. Step 5: Solve for x
    x = 298,999,762.86/19,861.32
  6. Step 6: Final answer
    x = 15,054.38

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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.