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Finding the Fourth Proportional to 9,885.88, 14,864.38 and 9,115.30

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Solution

The fourth proportional to 9,885.88, 14,864.38 and 9,115.30 is: 13,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.88 : 14,864.38 = 9,115.30 : x
  2. Step 2: Convert to fraction form
    9,885.88/14,864.38 = 9,115.30/x
  3. Step 3: Cross multiply
    9,885.88x = 14,864.38 × 9,115.30
  4. Step 4: Simplify right side
    9,885.88x = 135,493,163.12
  5. Step 5: Solve for x
    x = 135,493,163.12/9,885.88
  6. Step 6: Final answer
    x = 13,705.73

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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.