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Finding the Fourth Proportional to 12,115.29, 16,719.03 and 6,810.06

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Solution

The fourth proportional to 12,115.29, 16,719.03 and 6,810.06 is: 9,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.29 : 16,719.03 = 6,810.06 : x
  2. Step 2: Convert to fraction form
    12,115.29/16,719.03 = 6,810.06/x
  3. Step 3: Cross multiply
    12,115.29x = 16,719.03 × 6,810.06
  4. Step 4: Simplify right side
    12,115.29x = 113,857,597.44
  5. Step 5: Solve for x
    x = 113,857,597.44/12,115.29
  6. Step 6: Final answer
    x = 9,397.84

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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.