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Finding the Fourth Proportional to 29,288, 43,932.16 and 7,400

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Solution

The fourth proportional to 29,288, 43,932.16 and 7,400 is: 11,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,288 : 43,932.16 = 7,400 : x
  2. Step 2: Convert to fraction form
    29,288/43,932.16 = 7,400/x
  3. Step 3: Cross multiply
    29,288x = 43,932.16 × 7,400
  4. Step 4: Simplify right side
    29,288x = 325,097,984
  5. Step 5: Solve for x
    x = 325,097,984/29,288
  6. Step 6: Final answer
    x = 11,100.04

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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.