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Finding the Fourth Proportional to 8,112.84, 11,129.74 and 8,036.29

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Solution

The fourth proportional to 8,112.84, 11,129.74 and 8,036.29 is: 11,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.84 : 11,129.74 = 8,036.29 : x
  2. Step 2: Convert to fraction form
    8,112.84/11,129.74 = 8,036.29/x
  3. Step 3: Cross multiply
    8,112.84x = 11,129.74 × 8,036.29
  4. Step 4: Simplify right side
    8,112.84x = 89,441,818.26
  5. Step 5: Solve for x
    x = 89,441,818.26/8,112.84
  6. Step 6: Final answer
    x = 11,024.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.