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Finding the Fourth Proportional to 29,307.47, 43,961.24 and 7,120.85

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Solution

The fourth proportional to 29,307.47, 43,961.24 and 7,120.85 is: 10,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,307.47 : 43,961.24 = 7,120.85 : x
  2. Step 2: Convert to fraction form
    29,307.47/43,961.24 = 7,120.85/x
  3. Step 3: Cross multiply
    29,307.47x = 43,961.24 × 7,120.85
  4. Step 4: Simplify right side
    29,307.47x = 313,041,523.56
  5. Step 5: Solve for x
    x = 313,041,523.56/29,307.47
  6. Step 6: Final answer
    x = 10,681.29

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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.