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Finding the Fourth Proportional to 12,085, 16,677.54 and 6,780.18

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Solution

The fourth proportional to 12,085, 16,677.54 and 6,780.18 is: 9,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085 : 16,677.54 = 6,780.18 : x
  2. Step 2: Convert to fraction form
    12,085/16,677.54 = 6,780.18/x
  3. Step 3: Cross multiply
    12,085x = 16,677.54 × 6,780.18
  4. Step 4: Simplify right side
    12,085x = 113,076,723.16
  5. Step 5: Solve for x
    x = 113,076,723.16/12,085
  6. Step 6: Final answer
    x = 9,356.78

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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.