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Finding the Fourth Proportional to 7,637, 11,451.81 and 2,953.58

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Solution

The fourth proportional to 7,637, 11,451.81 and 2,953.58 is: 4,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637 : 11,451.81 = 2,953.58 : x
  2. Step 2: Convert to fraction form
    7,637/11,451.81 = 2,953.58/x
  3. Step 3: Cross multiply
    7,637x = 11,451.81 × 2,953.58
  4. Step 4: Simplify right side
    7,637x = 33,823,836.98
  5. Step 5: Solve for x
    x = 33,823,836.98/7,637
  6. Step 6: Final answer
    x = 4,428.94

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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.