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Finding the Fourth Proportional to 10,885.97, 16,328.88 and 5,257.08

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Solution

The fourth proportional to 10,885.97, 16,328.88 and 5,257.08 is: 7,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.97 : 16,328.88 = 5,257.08 : x
  2. Step 2: Convert to fraction form
    10,885.97/16,328.88 = 5,257.08/x
  3. Step 3: Cross multiply
    10,885.97x = 16,328.88 × 5,257.08
  4. Step 4: Simplify right side
    10,885.97x = 85,842,228.47
  5. Step 5: Solve for x
    x = 85,842,228.47/10,885.97
  6. Step 6: Final answer
    x = 7,885.58

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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.