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Finding the Fourth Proportional to 10,644.39, 14,689.74 and 5,928.66

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Solution

The fourth proportional to 10,644.39, 14,689.74 and 5,928.66 is: 8,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.39 : 14,689.74 = 5,928.66 : x
  2. Step 2: Convert to fraction form
    10,644.39/14,689.74 = 5,928.66/x
  3. Step 3: Cross multiply
    10,644.39x = 14,689.74 × 5,928.66
  4. Step 4: Simplify right side
    10,644.39x = 87,090,473.95
  5. Step 5: Solve for x
    x = 87,090,473.95/10,644.39
  6. Step 6: Final answer
    x = 8,181.82

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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.