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Finding the Fourth Proportional to 23,221.48, 34,834.64 and 7,640.32

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Solution

The fourth proportional to 23,221.48, 34,834.64 and 7,640.32 is: 11,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.48 : 34,834.64 = 7,640.32 : x
  2. Step 2: Convert to fraction form
    23,221.48/34,834.64 = 7,640.32/x
  3. Step 3: Cross multiply
    23,221.48x = 34,834.64 × 7,640.32
  4. Step 4: Simplify right side
    23,221.48x = 266,147,796.68
  5. Step 5: Solve for x
    x = 266,147,796.68/23,221.48
  6. Step 6: Final answer
    x = 11,461.28

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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.