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Finding the Fourth Proportional to 8,465.82, 11,689.06 and 7,836.04

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Solution

The fourth proportional to 8,465.82, 11,689.06 and 7,836.04 is: 10,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.82 : 11,689.06 = 7,836.04 : x
  2. Step 2: Convert to fraction form
    8,465.82/11,689.06 = 7,836.04/x
  3. Step 3: Cross multiply
    8,465.82x = 11,689.06 × 7,836.04
  4. Step 4: Simplify right side
    8,465.82x = 91,595,951.44
  5. Step 5: Solve for x
    x = 91,595,951.44/8,465.82
  6. Step 6: Final answer
    x = 10,819.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.