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Finding the Fourth Proportional to 19,909, 29,868.90 and 6,058

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Solution

The fourth proportional to 19,909, 29,868.90 and 6,058 is: 9,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909 : 29,868.90 = 6,058 : x
  2. Step 2: Convert to fraction form
    19,909/29,868.90 = 6,058/x
  3. Step 3: Cross multiply
    19,909x = 29,868.90 × 6,058
  4. Step 4: Simplify right side
    19,909x = 180,945,796.20
  5. Step 5: Solve for x
    x = 180,945,796.20/19,909
  6. Step 6: Final answer
    x = 9,088.64

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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.