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Finding the Fourth Proportional to 9,919.53, 14,879.64 and 3,345.78

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Solution

The fourth proportional to 9,919.53, 14,879.64 and 3,345.78 is: 5,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.53 : 14,879.64 = 3,345.78 : x
  2. Step 2: Convert to fraction form
    9,919.53/14,879.64 = 3,345.78/x
  3. Step 3: Cross multiply
    9,919.53x = 14,879.64 × 3,345.78
  4. Step 4: Simplify right side
    9,919.53x = 49,784,001.92
  5. Step 5: Solve for x
    x = 49,784,001.92/9,919.53
  6. Step 6: Final answer
    x = 5,018.79

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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.