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Finding the Fourth Proportional to 7,689.74, 11,529.14 and 3,682.53

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Solution

The fourth proportional to 7,689.74, 11,529.14 and 3,682.53 is: 5,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.74 : 11,529.14 = 3,682.53 : x
  2. Step 2: Convert to fraction form
    7,689.74/11,529.14 = 3,682.53/x
  3. Step 3: Cross multiply
    7,689.74x = 11,529.14 × 3,682.53
  4. Step 4: Simplify right side
    7,689.74x = 42,456,385.51
  5. Step 5: Solve for x
    x = 42,456,385.51/7,689.74
  6. Step 6: Final answer
    x = 5,521.18

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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.