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Finding the Fourth Proportional to 3,953.61, 5,930.81 and 1,142.51

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Solution

The fourth proportional to 3,953.61, 5,930.81 and 1,142.51 is: 1,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.61 : 5,930.81 = 1,142.51 : x
  2. Step 2: Convert to fraction form
    3,953.61/5,930.81 = 1,142.51/x
  3. Step 3: Cross multiply
    3,953.61x = 5,930.81 × 1,142.51
  4. Step 4: Simplify right side
    3,953.61x = 6,776,009.73
  5. Step 5: Solve for x
    x = 6,776,009.73/3,953.61
  6. Step 6: Final answer
    x = 1,713.88

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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.