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Finding the Fourth Proportional to 9,666, 13,316.31 and 9,084.74

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Solution

The fourth proportional to 9,666, 13,316.31 and 9,084.74 is: 12,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666 : 13,316.31 = 9,084.74 : x
  2. Step 2: Convert to fraction form
    9,666/13,316.31 = 9,084.74/x
  3. Step 3: Cross multiply
    9,666x = 13,316.31 × 9,084.74
  4. Step 4: Simplify right side
    9,666x = 120,975,147.53
  5. Step 5: Solve for x
    x = 120,975,147.53/9,666
  6. Step 6: Final answer
    x = 12,515.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.