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Finding the Fourth Proportional to 19,798.94, 29,708.13 and 8,115.50

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Solution

The fourth proportional to 19,798.94, 29,708.13 and 8,115.50 is: 12,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.94 : 29,708.13 = 8,115.50 : x
  2. Step 2: Convert to fraction form
    19,798.94/29,708.13 = 8,115.50/x
  3. Step 3: Cross multiply
    19,798.94x = 29,708.13 × 8,115.50
  4. Step 4: Simplify right side
    19,798.94x = 241,096,329.02
  5. Step 5: Solve for x
    x = 241,096,329.02/19,798.94
  6. Step 6: Final answer
    x = 12,177.23

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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.