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Finding the Fourth Proportional to 27,081.24, 40,619.16 and 8,356.20

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Solution

The fourth proportional to 27,081.24, 40,619.16 and 8,356.20 is: 12,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,081.24 : 40,619.16 = 8,356.20 : x
  2. Step 2: Convert to fraction form
    27,081.24/40,619.16 = 8,356.20/x
  3. Step 3: Cross multiply
    27,081.24x = 40,619.16 × 8,356.20
  4. Step 4: Simplify right side
    27,081.24x = 339,421,824.79
  5. Step 5: Solve for x
    x = 339,421,824.79/27,081.24
  6. Step 6: Final answer
    x = 12,533.47

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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.