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Finding the Fourth Proportional to 14,723.36, 20,318.08 and 8,009.12

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Solution

The fourth proportional to 14,723.36, 20,318.08 and 8,009.12 is: 11,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,723.36 : 20,318.08 = 8,009.12 : x
  2. Step 2: Convert to fraction form
    14,723.36/20,318.08 = 8,009.12/x
  3. Step 3: Cross multiply
    14,723.36x = 20,318.08 × 8,009.12
  4. Step 4: Simplify right side
    14,723.36x = 162,729,940.89
  5. Step 5: Solve for x
    x = 162,729,940.89/14,723.36
  6. Step 6: Final answer
    x = 11,052.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.