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Finding the Fourth Proportional to 11,840.57, 17,754.47 and 7,165.86

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Solution

The fourth proportional to 11,840.57, 17,754.47 and 7,165.86 is: 10,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.57 : 17,754.47 = 7,165.86 : x
  2. Step 2: Convert to fraction form
    11,840.57/17,754.47 = 7,165.86/x
  3. Step 3: Cross multiply
    11,840.57x = 17,754.47 × 7,165.86
  4. Step 4: Simplify right side
    11,840.57x = 127,226,046.39
  5. Step 5: Solve for x
    x = 127,226,046.39/11,840.57
  6. Step 6: Final answer
    x = 10,744.93

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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.