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Finding the Fourth Proportional to 34,129.82, 51,201.52 and 10,440.70

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Solution

The fourth proportional to 34,129.82, 51,201.52 and 10,440.70 is: 15,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,129.82 : 51,201.52 = 10,440.70 : x
  2. Step 2: Convert to fraction form
    34,129.82/51,201.52 = 10,440.70/x
  3. Step 3: Cross multiply
    34,129.82x = 51,201.52 × 10,440.70
  4. Step 4: Simplify right side
    34,129.82x = 534,579,555.76
  5. Step 5: Solve for x
    x = 534,579,555.76/34,129.82
  6. Step 6: Final answer
    x = 15,663.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.