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Finding the Fourth Proportional to 10,910.68, 16,368.36 and 3,985

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Solution

The fourth proportional to 10,910.68, 16,368.36 and 3,985 is: 5,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.68 : 16,368.36 = 3,985 : x
  2. Step 2: Convert to fraction form
    10,910.68/16,368.36 = 3,985/x
  3. Step 3: Cross multiply
    10,910.68x = 16,368.36 × 3,985
  4. Step 4: Simplify right side
    10,910.68x = 65,227,914.60
  5. Step 5: Solve for x
    x = 65,227,914.60/10,910.68
  6. Step 6: Final answer
    x = 5,978.35

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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.