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Finding the Fourth Proportional to 13,257.84, 18,296.12 and 7,289.84

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Solution

The fourth proportional to 13,257.84, 18,296.12 and 7,289.84 is: 10,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.84 : 18,296.12 = 7,289.84 : x
  2. Step 2: Convert to fraction form
    13,257.84/18,296.12 = 7,289.84/x
  3. Step 3: Cross multiply
    13,257.84x = 18,296.12 × 7,289.84
  4. Step 4: Simplify right side
    13,257.84x = 133,375,851.39
  5. Step 5: Solve for x
    x = 133,375,851.39/13,257.84
  6. Step 6: Final answer
    x = 10,060.15

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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.