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Finding the Fourth Proportional to 10,715.66, 16,045.80 and 7,394.15

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Solution

The fourth proportional to 10,715.66, 16,045.80 and 7,394.15 is: 11,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.66 : 16,045.80 = 7,394.15 : x
  2. Step 2: Convert to fraction form
    10,715.66/16,045.80 = 7,394.15/x
  3. Step 3: Cross multiply
    10,715.66x = 16,045.80 × 7,394.15
  4. Step 4: Simplify right side
    10,715.66x = 118,645,052.07
  5. Step 5: Solve for x
    x = 118,645,052.07/10,715.66
  6. Step 6: Final answer
    x = 11,072.12

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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.