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Finding the Fourth Proportional to 7,204.08, 9,928.16 and 5,211.22

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Solution

The fourth proportional to 7,204.08, 9,928.16 and 5,211.22 is: 7,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.08 : 9,928.16 = 5,211.22 : x
  2. Step 2: Convert to fraction form
    7,204.08/9,928.16 = 5,211.22/x
  3. Step 3: Cross multiply
    7,204.08x = 9,928.16 × 5,211.22
  4. Step 4: Simplify right side
    7,204.08x = 51,737,825.96
  5. Step 5: Solve for x
    x = 51,737,825.96/7,204.08
  6. Step 6: Final answer
    x = 7,181.74

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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.