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Finding the Fourth Proportional to 27,219.83, 40,828.59 and 8,499.71

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Solution

The fourth proportional to 27,219.83, 40,828.59 and 8,499.71 is: 12,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,219.83 : 40,828.59 = 8,499.71 : x
  2. Step 2: Convert to fraction form
    27,219.83/40,828.59 = 8,499.71/x
  3. Step 3: Cross multiply
    27,219.83x = 40,828.59 × 8,499.71
  4. Step 4: Simplify right side
    27,219.83x = 347,031,276.78
  5. Step 5: Solve for x
    x = 347,031,276.78/27,219.83
  6. Step 6: Final answer
    x = 12,749.21

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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.