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Finding the Fourth Proportional to 13,058.96, 18,022.92 and 7,471.76

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Solution

The fourth proportional to 13,058.96, 18,022.92 and 7,471.76 is: 10,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.96 : 18,022.92 = 7,471.76 : x
  2. Step 2: Convert to fraction form
    13,058.96/18,022.92 = 7,471.76/x
  3. Step 3: Cross multiply
    13,058.96x = 18,022.92 × 7,471.76
  4. Step 4: Simplify right side
    13,058.96x = 134,662,932.74
  5. Step 5: Solve for x
    x = 134,662,932.74/13,058.96
  6. Step 6: Final answer
    x = 10,311.92

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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.