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Finding the Fourth Proportional to 13,644.81, 20,437.59 and 8,364.12

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Solution

The fourth proportional to 13,644.81, 20,437.59 and 8,364.12 is: 12,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.81 : 20,437.59 = 8,364.12 : x
  2. Step 2: Convert to fraction form
    13,644.81/20,437.59 = 8,364.12/x
  3. Step 3: Cross multiply
    13,644.81x = 20,437.59 × 8,364.12
  4. Step 4: Simplify right side
    13,644.81x = 170,942,455.27
  5. Step 5: Solve for x
    x = 170,942,455.27/13,644.81
  6. Step 6: Final answer
    x = 12,528.02

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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.