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Finding the Fourth Proportional to 7,056, 10,584.24 and 2,839.20

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Solution

The fourth proportional to 7,056, 10,584.24 and 2,839.20 is: 4,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056 : 10,584.24 = 2,839.20 : x
  2. Step 2: Convert to fraction form
    7,056/10,584.24 = 2,839.20/x
  3. Step 3: Cross multiply
    7,056x = 10,584.24 × 2,839.20
  4. Step 4: Simplify right side
    7,056x = 30,050,774.21
  5. Step 5: Solve for x
    x = 30,050,774.21/7,056
  6. Step 6: Final answer
    x = 4,258.90

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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.