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Finding the Fourth Proportional to 13,542.93, 18,689.24 and 7,574.70

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Solution

The fourth proportional to 13,542.93, 18,689.24 and 7,574.70 is: 10,453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.93 : 18,689.24 = 7,574.70 : x
  2. Step 2: Convert to fraction form
    13,542.93/18,689.24 = 7,574.70/x
  3. Step 3: Cross multiply
    13,542.93x = 18,689.24 × 7,574.70
  4. Step 4: Simplify right side
    13,542.93x = 141,565,348.35
  5. Step 5: Solve for x
    x = 141,565,348.35/13,542.93
  6. Step 6: Final answer
    x = 10,453.08

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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.