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Finding the Fourth Proportional to 7,854.67, 11,784.29 and 4,156.44

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Solution

The fourth proportional to 7,854.67, 11,784.29 and 4,156.44 is: 6,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.67 : 11,784.29 = 4,156.44 : x
  2. Step 2: Convert to fraction form
    7,854.67/11,784.29 = 4,156.44/x
  3. Step 3: Cross multiply
    7,854.67x = 11,784.29 × 4,156.44
  4. Step 4: Simplify right side
    7,854.67x = 48,980,662.50
  5. Step 5: Solve for x
    x = 48,980,662.50/7,854.67
  6. Step 6: Final answer
    x = 6,235.86

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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.