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Finding the Fourth Proportional to 13,952.76, 20,901.72 and 8,097.12

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Solution

The fourth proportional to 13,952.76, 20,901.72 and 8,097.12 is: 12,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.76 : 20,901.72 = 8,097.12 : x
  2. Step 2: Convert to fraction form
    13,952.76/20,901.72 = 8,097.12/x
  3. Step 3: Cross multiply
    13,952.76x = 20,901.72 × 8,097.12
  4. Step 4: Simplify right side
    13,952.76x = 169,243,735.05
  5. Step 5: Solve for x
    x = 169,243,735.05/13,952.76
  6. Step 6: Final answer
    x = 12,129.77

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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.