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Finding the Fourth Proportional to 7,563.40, 11,282.21 and 7,442.44

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Solution

The fourth proportional to 7,563.40, 11,282.21 and 7,442.44 is: 11,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.40 : 11,282.21 = 7,442.44 : x
  2. Step 2: Convert to fraction form
    7,563.40/11,282.21 = 7,442.44/x
  3. Step 3: Cross multiply
    7,563.40x = 11,282.21 × 7,442.44
  4. Step 4: Simplify right side
    7,563.40x = 83,967,170.99
  5. Step 5: Solve for x
    x = 83,967,170.99/7,563.40
  6. Step 6: Final answer
    x = 11,101.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.