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Finding the Fourth Proportional to 9,157.92, 13,742.64 and 4,480.80

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Solution

The fourth proportional to 9,157.92, 13,742.64 and 4,480.80 is: 6,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.92 : 13,742.64 = 4,480.80 : x
  2. Step 2: Convert to fraction form
    9,157.92/13,742.64 = 4,480.80/x
  3. Step 3: Cross multiply
    9,157.92x = 13,742.64 × 4,480.80
  4. Step 4: Simplify right side
    9,157.92x = 61,578,021.31
  5. Step 5: Solve for x
    x = 61,578,021.31/9,157.92
  6. Step 6: Final answer
    x = 6,724.02

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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.