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Finding the Fourth Proportional to 7,116.03, 9,820.10 and 3,972.22

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Solution

The fourth proportional to 7,116.03, 9,820.10 and 3,972.22 is: 5,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.03 : 9,820.10 = 3,972.22 : x
  2. Step 2: Convert to fraction form
    7,116.03/9,820.10 = 3,972.22/x
  3. Step 3: Cross multiply
    7,116.03x = 9,820.10 × 3,972.22
  4. Step 4: Simplify right side
    7,116.03x = 39,007,597.62
  5. Step 5: Solve for x
    x = 39,007,597.62/7,116.03
  6. Step 6: Final answer
    x = 5,481.65

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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.