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Finding the Fourth Proportional to 10,092.69, 15,146.88 and 6,994.38

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Solution

The fourth proportional to 10,092.69, 15,146.88 and 6,994.38 is: 10,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.69 : 15,146.88 = 6,994.38 : x
  2. Step 2: Convert to fraction form
    10,092.69/15,146.88 = 6,994.38/x
  3. Step 3: Cross multiply
    10,092.69x = 15,146.88 × 6,994.38
  4. Step 4: Simplify right side
    10,092.69x = 105,943,034.53
  5. Step 5: Solve for x
    x = 105,943,034.53/10,092.69
  6. Step 6: Final answer
    x = 10,497.01

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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.