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Finding the Fourth Proportional to 13,058.90, 19,591.74 and 5,661.66

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Solution

The fourth proportional to 13,058.90, 19,591.74 and 5,661.66 is: 8,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.90 : 19,591.74 = 5,661.66 : x
  2. Step 2: Convert to fraction form
    13,058.90/19,591.74 = 5,661.66/x
  3. Step 3: Cross multiply
    13,058.90x = 19,591.74 × 5,661.66
  4. Step 4: Simplify right side
    13,058.90x = 110,921,770.69
  5. Step 5: Solve for x
    x = 110,921,770.69/13,058.90
  6. Step 6: Final answer
    x = 8,493.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.