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Finding the Fourth Proportional to 10,193.98, 14,046.12 and 9,492.72

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Solution

The fourth proportional to 10,193.98, 14,046.12 and 9,492.72 is: 13,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.98 : 14,046.12 = 9,492.72 : x
  2. Step 2: Convert to fraction form
    10,193.98/14,046.12 = 9,492.72/x
  3. Step 3: Cross multiply
    10,193.98x = 14,046.12 × 9,492.72
  4. Step 4: Simplify right side
    10,193.98x = 133,335,884.25
  5. Step 5: Solve for x
    x = 133,335,884.25/10,193.98
  6. Step 6: Final answer
    x = 13,079.87

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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.