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Finding the Fourth Proportional to 7,886.52, 11,826.36 and 4,187.94

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Solution

The fourth proportional to 7,886.52, 11,826.36 and 4,187.94 is: 6,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.52 : 11,826.36 = 4,187.94 : x
  2. Step 2: Convert to fraction form
    7,886.52/11,826.36 = 4,187.94/x
  3. Step 3: Cross multiply
    7,886.52x = 11,826.36 × 4,187.94
  4. Step 4: Simplify right side
    7,886.52x = 49,528,086.10
  5. Step 5: Solve for x
    x = 49,528,086.10/7,886.52
  6. Step 6: Final answer
    x = 6,280.09

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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.