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Finding the Fourth Proportional to 9,919.64, 14,879.52 and 3,345.88

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Solution

The fourth proportional to 9,919.64, 14,879.52 and 3,345.88 is: 5,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.64 : 14,879.52 = 3,345.88 : x
  2. Step 2: Convert to fraction form
    9,919.64/14,879.52 = 3,345.88/x
  3. Step 3: Cross multiply
    9,919.64x = 14,879.52 × 3,345.88
  4. Step 4: Simplify right side
    9,919.64x = 49,785,088.38
  5. Step 5: Solve for x
    x = 49,785,088.38/9,919.64
  6. Step 6: Final answer
    x = 5,018.84

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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.