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Finding the Fourth Proportional to 13,894.48, 20,855.82 and 12,323.50

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Solution

The fourth proportional to 13,894.48, 20,855.82 and 12,323.50 is: 18,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.48 : 20,855.82 = 12,323.50 : x
  2. Step 2: Convert to fraction form
    13,894.48/20,855.82 = 12,323.50/x
  3. Step 3: Cross multiply
    13,894.48x = 20,855.82 × 12,323.50
  4. Step 4: Simplify right side
    13,894.48x = 257,016,697.77
  5. Step 5: Solve for x
    x = 257,016,697.77/13,894.48
  6. Step 6: Final answer
    x = 18,497.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.