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Finding the Fourth Proportional to 19,770, 29,655 and 5,919

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Solution

The fourth proportional to 19,770, 29,655 and 5,919 is: 8,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770 : 29,655 = 5,919 : x
  2. Step 2: Convert to fraction form
    19,770/29,655 = 5,919/x
  3. Step 3: Cross multiply
    19,770x = 29,655 × 5,919
  4. Step 4: Simplify right side
    19,770x = 175,527,945
  5. Step 5: Solve for x
    x = 175,527,945/19,770
  6. Step 6: Final answer
    x = 8,878.50

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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.