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Finding the Fourth Proportional to 7,225.49, 9,972.21 and 5,215.54

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Solution

The fourth proportional to 7,225.49, 9,972.21 and 5,215.54 is: 7,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.49 : 9,972.21 = 5,215.54 : x
  2. Step 2: Convert to fraction form
    7,225.49/9,972.21 = 5,215.54/x
  3. Step 3: Cross multiply
    7,225.49x = 9,972.21 × 5,215.54
  4. Step 4: Simplify right side
    7,225.49x = 52,010,460.14
  5. Step 5: Solve for x
    x = 52,010,460.14/7,225.49
  6. Step 6: Final answer
    x = 7,198.19

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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.