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Finding the Fourth Proportional to 12,783.22, 17,636.03 and 8,310.80

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Solution

The fourth proportional to 12,783.22, 17,636.03 and 8,310.80 is: 11,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.22 : 17,636.03 = 8,310.80 : x
  2. Step 2: Convert to fraction form
    12,783.22/17,636.03 = 8,310.80/x
  3. Step 3: Cross multiply
    12,783.22x = 17,636.03 × 8,310.80
  4. Step 4: Simplify right side
    12,783.22x = 146,569,551.83
  5. Step 5: Solve for x
    x = 146,569,551.83/12,783.22
  6. Step 6: Final answer
    x = 11,465.78

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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.