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Finding the Fourth Proportional to 9,157.61, 13,714 and 8,270.14

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Solution

The fourth proportional to 9,157.61, 13,714 and 8,270.14 is: 12,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.61 : 13,714 = 8,270.14 : x
  2. Step 2: Convert to fraction form
    9,157.61/13,714 = 8,270.14/x
  3. Step 3: Cross multiply
    9,157.61x = 13,714 × 8,270.14
  4. Step 4: Simplify right side
    9,157.61x = 113,416,699.96
  5. Step 5: Solve for x
    x = 113,416,699.96/9,157.61
  6. Step 6: Final answer
    x = 12,384.97

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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.