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Finding the Fourth Proportional to 12,295.80, 16,985.70 and 10,546.20

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Solution

The fourth proportional to 12,295.80, 16,985.70 and 10,546.20 is: 14,568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.80 : 16,985.70 = 10,546.20 : x
  2. Step 2: Convert to fraction form
    12,295.80/16,985.70 = 10,546.20/x
  3. Step 3: Cross multiply
    12,295.80x = 16,985.70 × 10,546.20
  4. Step 4: Simplify right side
    12,295.80x = 179,134,589.34
  5. Step 5: Solve for x
    x = 179,134,589.34/12,295.80
  6. Step 6: Final answer
    x = 14,568.76

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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.