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Finding the Fourth Proportional to 21,035.94, 31,544.66 and 7,879.08

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Solution

The fourth proportional to 21,035.94, 31,544.66 and 7,879.08 is: 11,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.94 : 31,544.66 = 7,879.08 : x
  2. Step 2: Convert to fraction form
    21,035.94/31,544.66 = 7,879.08/x
  3. Step 3: Cross multiply
    21,035.94x = 31,544.66 × 7,879.08
  4. Step 4: Simplify right side
    21,035.94x = 248,542,899.71
  5. Step 5: Solve for x
    x = 248,542,899.71/21,035.94
  6. Step 6: Final answer
    x = 11,815.16

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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.