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Finding the Fourth Proportional to 7,846.66, 11,774.85 and 7,039.90

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Solution

The fourth proportional to 7,846.66, 11,774.85 and 7,039.90 is: 10,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.66 : 11,774.85 = 7,039.90 : x
  2. Step 2: Convert to fraction form
    7,846.66/11,774.85 = 7,039.90/x
  3. Step 3: Cross multiply
    7,846.66x = 11,774.85 × 7,039.90
  4. Step 4: Simplify right side
    7,846.66x = 82,893,766.52
  5. Step 5: Solve for x
    x = 82,893,766.52/7,846.66
  6. Step 6: Final answer
    x = 10,564.21

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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.