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Finding the Fourth Proportional to 12,866.86, 19,299.54 and 4,967.82

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Solution

The fourth proportional to 12,866.86, 19,299.54 and 4,967.82 is: 7,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.86 : 19,299.54 = 4,967.82 : x
  2. Step 2: Convert to fraction form
    12,866.86/19,299.54 = 4,967.82/x
  3. Step 3: Cross multiply
    12,866.86x = 19,299.54 × 4,967.82
  4. Step 4: Simplify right side
    12,866.86x = 95,876,640.80
  5. Step 5: Solve for x
    x = 95,876,640.80/12,866.86
  6. Step 6: Final answer
    x = 7,451.44

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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.