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Finding the Fourth Proportional to 12,310.98, 16,993.29 and 8,009.88

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Solution

The fourth proportional to 12,310.98, 16,993.29 and 8,009.88 is: 11,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.98 : 16,993.29 = 8,009.88 : x
  2. Step 2: Convert to fraction form
    12,310.98/16,993.29 = 8,009.88/x
  3. Step 3: Cross multiply
    12,310.98x = 16,993.29 × 8,009.88
  4. Step 4: Simplify right side
    12,310.98x = 136,114,213.71
  5. Step 5: Solve for x
    x = 136,114,213.71/12,310.98
  6. Step 6: Final answer
    x = 11,056.33

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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.