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Finding the Fourth Proportional to 7,886.06, 11,828.70 and 2,955.32

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Solution

The fourth proportional to 7,886.06, 11,828.70 and 2,955.32 is: 4,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.06 : 11,828.70 = 2,955.32 : x
  2. Step 2: Convert to fraction form
    7,886.06/11,828.70 = 2,955.32/x
  3. Step 3: Cross multiply
    7,886.06x = 11,828.70 × 2,955.32
  4. Step 4: Simplify right side
    7,886.06x = 34,957,593.68
  5. Step 5: Solve for x
    x = 34,957,593.68/7,886.06
  6. Step 6: Final answer
    x = 4,432.83

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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.