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Finding the Fourth Proportional to 9,168.96, 13,722.36 and 5,661.32

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Solution

The fourth proportional to 9,168.96, 13,722.36 and 5,661.32 is: 8,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.96 : 13,722.36 = 5,661.32 : x
  2. Step 2: Convert to fraction form
    9,168.96/13,722.36 = 5,661.32/x
  3. Step 3: Cross multiply
    9,168.96x = 13,722.36 × 5,661.32
  4. Step 4: Simplify right side
    9,168.96x = 77,686,671.12
  5. Step 5: Solve for x
    x = 77,686,671.12/9,168.96
  6. Step 6: Final answer
    x = 8,472.79

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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.