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Finding the Fourth Proportional to 7,681.84, 11,521.44 and 7,183.68

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Solution

The fourth proportional to 7,681.84, 11,521.44 and 7,183.68 is: 10,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.84 : 11,521.44 = 7,183.68 : x
  2. Step 2: Convert to fraction form
    7,681.84/11,521.44 = 7,183.68/x
  3. Step 3: Cross multiply
    7,681.84x = 11,521.44 × 7,183.68
  4. Step 4: Simplify right side
    7,681.84x = 82,766,338.10
  5. Step 5: Solve for x
    x = 82,766,338.10/7,681.84
  6. Step 6: Final answer
    x = 10,774.29

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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.