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Finding the Fourth Proportional to 7,478.08, 11,227.20 and 3,971.20

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Solution

The fourth proportional to 7,478.08, 11,227.20 and 3,971.20 is: 5,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.08 : 11,227.20 = 3,971.20 : x
  2. Step 2: Convert to fraction form
    7,478.08/11,227.20 = 3,971.20/x
  3. Step 3: Cross multiply
    7,478.08x = 11,227.20 × 3,971.20
  4. Step 4: Simplify right side
    7,478.08x = 44,585,456.64
  5. Step 5: Solve for x
    x = 44,585,456.64/7,478.08
  6. Step 6: Final answer
    x = 5,962.15

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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.