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Finding the Fourth Proportional to 9,661, 14,487.72 and 4,116.88

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Solution

The fourth proportional to 9,661, 14,487.72 and 4,116.88 is: 6,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661 : 14,487.72 = 4,116.88 : x
  2. Step 2: Convert to fraction form
    9,661/14,487.72 = 4,116.88/x
  3. Step 3: Cross multiply
    9,661x = 14,487.72 × 4,116.88
  4. Step 4: Simplify right side
    9,661x = 59,644,204.71
  5. Step 5: Solve for x
    x = 59,644,204.71/9,661
  6. Step 6: Final answer
    x = 6,173.71

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1.5x scale

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.