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Finding the Fourth Proportional to 7,287.86, 10,930.14 and 2,845.64

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Solution

The fourth proportional to 7,287.86, 10,930.14 and 2,845.64 is: 4,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.86 : 10,930.14 = 2,845.64 : x
  2. Step 2: Convert to fraction form
    7,287.86/10,930.14 = 2,845.64/x
  3. Step 3: Cross multiply
    7,287.86x = 10,930.14 × 2,845.64
  4. Step 4: Simplify right side
    7,287.86x = 31,103,243.59
  5. Step 5: Solve for x
    x = 31,103,243.59/7,287.86
  6. Step 6: Final answer
    x = 4,267.82

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1.5x scale

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.