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Finding the Fourth Proportional to 9,099.64, 13,664.04 and 6,878.62

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Solution

The fourth proportional to 9,099.64, 13,664.04 and 6,878.62 is: 10,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.64 : 13,664.04 = 6,878.62 : x
  2. Step 2: Convert to fraction form
    9,099.64/13,664.04 = 6,878.62/x
  3. Step 3: Cross multiply
    9,099.64x = 13,664.04 × 6,878.62
  4. Step 4: Simplify right side
    9,099.64x = 93,989,738.82
  5. Step 5: Solve for x
    x = 93,989,738.82/9,099.64
  6. Step 6: Final answer
    x = 10,328.95

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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.