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Finding the Fourth Proportional to 9,920.72, 14,873.20 and 4,919.58

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Solution

The fourth proportional to 9,920.72, 14,873.20 and 4,919.58 is: 7,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.72 : 14,873.20 = 4,919.58 : x
  2. Step 2: Convert to fraction form
    9,920.72/14,873.20 = 4,919.58/x
  3. Step 3: Cross multiply
    9,920.72x = 14,873.20 × 4,919.58
  4. Step 4: Simplify right side
    9,920.72x = 73,169,884.96
  5. Step 5: Solve for x
    x = 73,169,884.96/9,920.72
  6. Step 6: Final answer
    x = 7,375.46

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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.