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Finding the Fourth Proportional to 13,804.80, 20,711.44 and 8,264.40

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Solution

The fourth proportional to 13,804.80, 20,711.44 and 8,264.40 is: 12,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.80 : 20,711.44 = 8,264.40 : x
  2. Step 2: Convert to fraction form
    13,804.80/20,711.44 = 8,264.40/x
  3. Step 3: Cross multiply
    13,804.80x = 20,711.44 × 8,264.40
  4. Step 4: Simplify right side
    13,804.80x = 171,167,624.74
  5. Step 5: Solve for x
    x = 171,167,624.74/13,804.80
  6. Step 6: Final answer
    x = 12,399.14

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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.