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Finding the Fourth Proportional to 3,058.80, 4,588.20 and 2,578.80

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Solution

The fourth proportional to 3,058.80, 4,588.20 and 2,578.80 is: 3,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.80 : 4,588.20 = 2,578.80 : x
  2. Step 2: Convert to fraction form
    3,058.80/4,588.20 = 2,578.80/x
  3. Step 3: Cross multiply
    3,058.80x = 4,588.20 × 2,578.80
  4. Step 4: Simplify right side
    3,058.80x = 11,832,050.16
  5. Step 5: Solve for x
    x = 11,832,050.16/3,058.80
  6. Step 6: Final answer
    x = 3,868.20

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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.