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Finding the Fourth Proportional to 27,800.40, 41,702.76 and 8,079.24

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Solution

The fourth proportional to 27,800.40, 41,702.76 and 8,079.24 is: 12,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800.40 : 41,702.76 = 8,079.24 : x
  2. Step 2: Convert to fraction form
    27,800.40/41,702.76 = 8,079.24/x
  3. Step 3: Cross multiply
    27,800.40x = 41,702.76 × 8,079.24
  4. Step 4: Simplify right side
    27,800.40x = 336,926,606.70
  5. Step 5: Solve for x
    x = 336,926,606.70/27,800.40
  6. Step 6: Final answer
    x = 12,119.49

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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.