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Finding the Fourth Proportional to 13,058.60, 19,550.10 and 9,786.20

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Solution

The fourth proportional to 13,058.60, 19,550.10 and 9,786.20 is: 14,650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.60 : 19,550.10 = 9,786.20 : x
  2. Step 2: Convert to fraction form
    13,058.60/19,550.10 = 9,786.20/x
  3. Step 3: Cross multiply
    13,058.60x = 19,550.10 × 9,786.20
  4. Step 4: Simplify right side
    13,058.60x = 191,321,188.62
  5. Step 5: Solve for x
    x = 191,321,188.62/13,058.60
  6. Step 6: Final answer
    x = 14,650.97

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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.