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Finding the Fourth Proportional to 13,722.80, 20,551.80 and 9,316.40

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Solution

The fourth proportional to 13,722.80, 20,551.80 and 9,316.40 is: 13,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.80 : 20,551.80 = 9,316.40 : x
  2. Step 2: Convert to fraction form
    13,722.80/20,551.80 = 9,316.40/x
  3. Step 3: Cross multiply
    13,722.80x = 20,551.80 × 9,316.40
  4. Step 4: Simplify right side
    13,722.80x = 191,468,789.52
  5. Step 5: Solve for x
    x = 191,468,789.52/13,722.80
  6. Step 6: Final answer
    x = 13,952.60

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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.