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Finding the Fourth Proportional to 27,856.52, 41,762.90 and 19,064.78

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Solution

The fourth proportional to 27,856.52, 41,762.90 and 19,064.78 is: 28,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.52 : 41,762.90 = 19,064.78 : x
  2. Step 2: Convert to fraction form
    27,856.52/41,762.90 = 19,064.78/x
  3. Step 3: Cross multiply
    27,856.52x = 41,762.90 × 19,064.78
  4. Step 4: Simplify right side
    27,856.52x = 796,200,496.12
  5. Step 5: Solve for x
    x = 796,200,496.12/27,856.52
  6. Step 6: Final answer
    x = 28,582.20

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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.