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Finding the Fourth Proportional to 9,909, 14,863.86 and 3,670.62

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Solution

The fourth proportional to 9,909, 14,863.86 and 3,670.62 is: 5,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909 : 14,863.86 = 3,670.62 : x
  2. Step 2: Convert to fraction form
    9,909/14,863.86 = 3,670.62/x
  3. Step 3: Cross multiply
    9,909x = 14,863.86 × 3,670.62
  4. Step 4: Simplify right side
    9,909x = 54,559,581.79
  5. Step 5: Solve for x
    x = 54,559,581.79/9,909
  6. Step 6: Final answer
    x = 5,506.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.