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Finding the Fourth Proportional to 3,980.00, 5,970.12 and 1,058.31

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Solution

The fourth proportional to 3,980.00, 5,970.12 and 1,058.31 is: 1,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.00 : 5,970.12 = 1,058.31 : x
  2. Step 2: Convert to fraction form
    3,980.00/5,970.12 = 1,058.31/x
  3. Step 3: Cross multiply
    3,980.00x = 5,970.12 × 1,058.31
  4. Step 4: Simplify right side
    3,980.00x = 6,318,233.73
  5. Step 5: Solve for x
    x = 6,318,233.73/3,980.00
  6. Step 6: Final answer
    x = 1,587.49

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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.