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Finding the Fourth Proportional to 11,578.32, 15,978.38 and 7,099.49

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Solution

The fourth proportional to 11,578.32, 15,978.38 and 7,099.49 is: 9,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.32 : 15,978.38 = 7,099.49 : x
  2. Step 2: Convert to fraction form
    11,578.32/15,978.38 = 7,099.49/x
  3. Step 3: Cross multiply
    11,578.32x = 15,978.38 × 7,099.49
  4. Step 4: Simplify right side
    11,578.32x = 113,438,233.64
  5. Step 5: Solve for x
    x = 113,438,233.64/11,578.32
  6. Step 6: Final answer
    x = 9,797.47

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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.