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Finding the Fourth Proportional to 19,785, 29,677.50 and 5,934

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Solution

The fourth proportional to 19,785, 29,677.50 and 5,934 is: 8,901

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785 : 29,677.50 = 5,934 : x
  2. Step 2: Convert to fraction form
    19,785/29,677.50 = 5,934/x
  3. Step 3: Cross multiply
    19,785x = 29,677.50 × 5,934
  4. Step 4: Simplify right side
    19,785x = 176,106,285
  5. Step 5: Solve for x
    x = 176,106,285/19,785
  6. Step 6: Final answer
    x = 8,901

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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.