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Finding the Fourth Proportional to 3,058.85, 4,588.20 and 978.83

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Solution

The fourth proportional to 3,058.85, 4,588.20 and 978.83 is: 1,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.85 : 4,588.20 = 978.83 : x
  2. Step 2: Convert to fraction form
    3,058.85/4,588.20 = 978.83/x
  3. Step 3: Cross multiply
    3,058.85x = 4,588.20 × 978.83
  4. Step 4: Simplify right side
    3,058.85x = 4,491,044.87
  5. Step 5: Solve for x
    x = 4,491,044.87/3,058.85
  6. Step 6: Final answer
    x = 1,468.21

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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.