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Finding the Fourth Proportional to 11,275.75, 16,844.48 and 8,128.90

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Solution

The fourth proportional to 11,275.75, 16,844.48 and 8,128.90 is: 12,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275.75 : 16,844.48 = 8,128.90 : x
  2. Step 2: Convert to fraction form
    11,275.75/16,844.48 = 8,128.90/x
  3. Step 3: Cross multiply
    11,275.75x = 16,844.48 × 8,128.90
  4. Step 4: Simplify right side
    11,275.75x = 136,927,071.68
  5. Step 5: Solve for x
    x = 136,927,071.68/11,275.75
  6. Step 6: Final answer
    x = 12,143.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.