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Finding the Fourth Proportional to 10,764.67, 14,857.74 and 6,791.21

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Solution

The fourth proportional to 10,764.67, 14,857.74 and 6,791.21 is: 9,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.67 : 14,857.74 = 6,791.21 : x
  2. Step 2: Convert to fraction form
    10,764.67/14,857.74 = 6,791.21/x
  3. Step 3: Cross multiply
    10,764.67x = 14,857.74 × 6,791.21
  4. Step 4: Simplify right side
    10,764.67x = 100,902,069.61
  5. Step 5: Solve for x
    x = 100,902,069.61/10,764.67
  6. Step 6: Final answer
    x = 9,373.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.