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Finding the Fourth Proportional to 7,807.48, 11,654.63 and 7,229.41

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Solution

The fourth proportional to 7,807.48, 11,654.63 and 7,229.41 is: 10,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.48 : 11,654.63 = 7,229.41 : x
  2. Step 2: Convert to fraction form
    7,807.48/11,654.63 = 7,229.41/x
  3. Step 3: Cross multiply
    7,807.48x = 11,654.63 × 7,229.41
  4. Step 4: Simplify right side
    7,807.48x = 84,256,098.67
  5. Step 5: Solve for x
    x = 84,256,098.67/7,807.48
  6. Step 6: Final answer
    x = 10,791.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.