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Finding the Fourth Proportional to 3,058.77, 4,587.86 and 978.21

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Solution

The fourth proportional to 3,058.77, 4,587.86 and 978.21 is: 1,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.77 : 4,587.86 = 978.21 : x
  2. Step 2: Convert to fraction form
    3,058.77/4,587.86 = 978.21/x
  3. Step 3: Cross multiply
    3,058.77x = 4,587.86 × 978.21
  4. Step 4: Simplify right side
    3,058.77x = 4,487,885.64
  5. Step 5: Solve for x
    x = 4,487,885.64/3,058.77
  6. Step 6: Final answer
    x = 1,467.22

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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.