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Finding the Fourth Proportional to 13,540.89, 18,686.76 and 7,572.95

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Solution

The fourth proportional to 13,540.89, 18,686.76 and 7,572.95 is: 10,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.89 : 18,686.76 = 7,572.95 : x
  2. Step 2: Convert to fraction form
    13,540.89/18,686.76 = 7,572.95/x
  3. Step 3: Cross multiply
    13,540.89x = 18,686.76 × 7,572.95
  4. Step 4: Simplify right side
    13,540.89x = 141,513,899.14
  5. Step 5: Solve for x
    x = 141,513,899.14/13,540.89
  6. Step 6: Final answer
    x = 10,450.86

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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.