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Finding the Fourth Proportional to 19,641, 29,466.90 and 5,790

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Solution

The fourth proportional to 19,641, 29,466.90 and 5,790 is: 8,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641 : 29,466.90 = 5,790 : x
  2. Step 2: Convert to fraction form
    19,641/29,466.90 = 5,790/x
  3. Step 3: Cross multiply
    19,641x = 29,466.90 × 5,790
  4. Step 4: Simplify right side
    19,641x = 170,613,351
  5. Step 5: Solve for x
    x = 170,613,351/19,641
  6. Step 6: Final answer
    x = 8,686.59

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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.