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Finding the Fourth Proportional to 7,422, 11,135.28 and 3,039.81

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Solution

The fourth proportional to 7,422, 11,135.28 and 3,039.81 is: 4,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422 : 11,135.28 = 3,039.81 : x
  2. Step 2: Convert to fraction form
    7,422/11,135.28 = 3,039.81/x
  3. Step 3: Cross multiply
    7,422x = 11,135.28 × 3,039.81
  4. Step 4: Simplify right side
    7,422x = 33,849,135.50
  5. Step 5: Solve for x
    x = 33,849,135.50/7,422
  6. Step 6: Final answer
    x = 4,560.65

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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.