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Finding the Fourth Proportional to 19,761.13, 29,653.38 and 7,289.92

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Solution

The fourth proportional to 19,761.13, 29,653.38 and 7,289.92 is: 10,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.13 : 29,653.38 = 7,289.92 : x
  2. Step 2: Convert to fraction form
    19,761.13/29,653.38 = 7,289.92/x
  3. Step 3: Cross multiply
    19,761.13x = 29,653.38 × 7,289.92
  4. Step 4: Simplify right side
    19,761.13x = 216,170,767.93
  5. Step 5: Solve for x
    x = 216,170,767.93/19,761.13
  6. Step 6: Final answer
    x = 10,939.19

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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.