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Finding the Fourth Proportional to 19,516.58, 29,249.32 and 7,838

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Solution

The fourth proportional to 19,516.58, 29,249.32 and 7,838 is: 11,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516.58 : 29,249.32 = 7,838 : x
  2. Step 2: Convert to fraction form
    19,516.58/29,249.32 = 7,838/x
  3. Step 3: Cross multiply
    19,516.58x = 29,249.32 × 7,838
  4. Step 4: Simplify right side
    19,516.58x = 229,256,170.16
  5. Step 5: Solve for x
    x = 229,256,170.16/19,516.58
  6. Step 6: Final answer
    x = 11,746.74

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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.