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Finding the Fourth Proportional to 8,398.22, 11,582.39 and 7,143.32

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Solution

The fourth proportional to 8,398.22, 11,582.39 and 7,143.32 is: 9,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.22 : 11,582.39 = 7,143.32 : x
  2. Step 2: Convert to fraction form
    8,398.22/11,582.39 = 7,143.32/x
  3. Step 3: Cross multiply
    8,398.22x = 11,582.39 × 7,143.32
  4. Step 4: Simplify right side
    8,398.22x = 82,736,764.95
  5. Step 5: Solve for x
    x = 82,736,764.95/8,398.22
  6. Step 6: Final answer
    x = 9,851.71

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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.