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Finding the Fourth Proportional to 12,761.68, 19,143.96 and 5,835.28

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Solution

The fourth proportional to 12,761.68, 19,143.96 and 5,835.28 is: 8,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.68 : 19,143.96 = 5,835.28 : x
  2. Step 2: Convert to fraction form
    12,761.68/19,143.96 = 5,835.28/x
  3. Step 3: Cross multiply
    12,761.68x = 19,143.96 × 5,835.28
  4. Step 4: Simplify right side
    12,761.68x = 111,710,366.91
  5. Step 5: Solve for x
    x = 111,710,366.91/12,761.68
  6. Step 6: Final answer
    x = 8,753.58

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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.