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Finding the Fourth Proportional to 19,861.50, 27,408.87 and 12,409.50

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Solution

The fourth proportional to 19,861.50, 27,408.87 and 12,409.50 is: 17,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.50 : 27,408.87 = 12,409.50 : x
  2. Step 2: Convert to fraction form
    19,861.50/27,408.87 = 12,409.50/x
  3. Step 3: Cross multiply
    19,861.50x = 27,408.87 × 12,409.50
  4. Step 4: Simplify right side
    19,861.50x = 340,130,372.27
  5. Step 5: Solve for x
    x = 340,130,372.27/19,861.50
  6. Step 6: Final answer
    x = 17,125.11

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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.