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Finding the Fourth Proportional to 12,821.63, 17,691.71 and 8,565.84

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Solution

The fourth proportional to 12,821.63, 17,691.71 and 8,565.84 is: 11,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.63 : 17,691.71 = 8,565.84 : x
  2. Step 2: Convert to fraction form
    12,821.63/17,691.71 = 8,565.84/x
  3. Step 3: Cross multiply
    12,821.63x = 17,691.71 × 8,565.84
  4. Step 4: Simplify right side
    12,821.63x = 151,544,314.36
  5. Step 5: Solve for x
    x = 151,544,314.36/12,821.63
  6. Step 6: Final answer
    x = 11,819.43

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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.