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Finding the Fourth Proportional to 19,490.80, 29,241 and 5,641.20

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Solution

The fourth proportional to 19,490.80, 29,241 and 5,641.20 is: 8,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,490.80 : 29,241 = 5,641.20 : x
  2. Step 2: Convert to fraction form
    19,490.80/29,241 = 5,641.20/x
  3. Step 3: Cross multiply
    19,490.80x = 29,241 × 5,641.20
  4. Step 4: Simplify right side
    19,490.80x = 164,954,329.20
  5. Step 5: Solve for x
    x = 164,954,329.20/19,490.80
  6. Step 6: Final answer
    x = 8,463.19

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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.