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Finding the Fourth Proportional to 7,886.43, 11,833.29 and 2,955.42

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Solution

The fourth proportional to 7,886.43, 11,833.29 and 2,955.42 is: 4,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.43 : 11,833.29 = 2,955.42 : x
  2. Step 2: Convert to fraction form
    7,886.43/11,833.29 = 2,955.42/x
  3. Step 3: Cross multiply
    7,886.43x = 11,833.29 × 2,955.42
  4. Step 4: Simplify right side
    7,886.43x = 34,972,341.93
  5. Step 5: Solve for x
    x = 34,972,341.93/7,886.43
  6. Step 6: Final answer
    x = 4,434.50

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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.