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Finding the Fourth Proportional to 19,878.67, 29,821.65 and 8,185.51

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Solution

The fourth proportional to 19,878.67, 29,821.65 and 8,185.51 is: 12,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.67 : 29,821.65 = 8,185.51 : x
  2. Step 2: Convert to fraction form
    19,878.67/29,821.65 = 8,185.51/x
  3. Step 3: Cross multiply
    19,878.67x = 29,821.65 × 8,185.51
  4. Step 4: Simplify right side
    19,878.67x = 244,105,414.29
  5. Step 5: Solve for x
    x = 244,105,414.29/19,878.67
  6. Step 6: Final answer
    x = 12,279.77

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1.5x scale

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.