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Finding the Fourth Proportional to 3,058.28, 4,587.42 and 978.50

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Solution

The fourth proportional to 3,058.28, 4,587.42 and 978.50 is: 1,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.28 : 4,587.42 = 978.50 : x
  2. Step 2: Convert to fraction form
    3,058.28/4,587.42 = 978.50/x
  3. Step 3: Cross multiply
    3,058.28x = 4,587.42 × 978.50
  4. Step 4: Simplify right side
    3,058.28x = 4,488,790.47
  5. Step 5: Solve for x
    x = 4,488,790.47/3,058.28
  6. Step 6: Final answer
    x = 1,467.75

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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.