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Finding the Fourth Proportional to 29,148, 43,729.40 and 8,371.52

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Solution

The fourth proportional to 29,148, 43,729.40 and 8,371.52 is: 12,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,148 : 43,729.40 = 8,371.52 : x
  2. Step 2: Convert to fraction form
    29,148/43,729.40 = 8,371.52/x
  3. Step 3: Cross multiply
    29,148x = 43,729.40 × 8,371.52
  4. Step 4: Simplify right side
    29,148x = 366,081,546.69
  5. Step 5: Solve for x
    x = 366,081,546.69/29,148
  6. Step 6: Final answer
    x = 12,559.41

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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.