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Finding the Fourth Proportional to 9,920, 14,885.78 and 4,448

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Solution

The fourth proportional to 9,920, 14,885.78 and 4,448 is: 6,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920 : 14,885.78 = 4,448 : x
  2. Step 2: Convert to fraction form
    9,920/14,885.78 = 4,448/x
  3. Step 3: Cross multiply
    9,920x = 14,885.78 × 4,448
  4. Step 4: Simplify right side
    9,920x = 66,211,949.44
  5. Step 5: Solve for x
    x = 66,211,949.44/9,920
  6. Step 6: Final answer
    x = 6,674.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.