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Finding the Fourth Proportional to 3,058.47, 4,587.65 and 978.47

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Solution

The fourth proportional to 3,058.47, 4,587.65 and 978.47 is: 1,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.47 : 4,587.65 = 978.47 : x
  2. Step 2: Convert to fraction form
    3,058.47/4,587.65 = 978.47/x
  3. Step 3: Cross multiply
    3,058.47x = 4,587.65 × 978.47
  4. Step 4: Simplify right side
    3,058.47x = 4,488,850.06
  5. Step 5: Solve for x
    x = 4,488,850.06/3,058.47
  6. Step 6: Final answer
    x = 1,467.68

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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.