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Finding the Fourth Proportional to 12,355.74, 17,058.77 and 8,114.32

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Solution

The fourth proportional to 12,355.74, 17,058.77 and 8,114.32 is: 11,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.74 : 17,058.77 = 8,114.32 : x
  2. Step 2: Convert to fraction form
    12,355.74/17,058.77 = 8,114.32/x
  3. Step 3: Cross multiply
    12,355.74x = 17,058.77 × 8,114.32
  4. Step 4: Simplify right side
    12,355.74x = 138,420,278.01
  5. Step 5: Solve for x
    x = 138,420,278.01/12,355.74
  6. Step 6: Final answer
    x = 11,202.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.