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Finding the Fourth Proportional to 13,311.66, 18,369.48 and 7,642.42

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Solution

The fourth proportional to 13,311.66, 18,369.48 and 7,642.42 is: 10,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.66 : 18,369.48 = 7,642.42 : x
  2. Step 2: Convert to fraction form
    13,311.66/18,369.48 = 7,642.42/x
  3. Step 3: Cross multiply
    13,311.66x = 18,369.48 × 7,642.42
  4. Step 4: Simplify right side
    13,311.66x = 140,387,324.42
  5. Step 5: Solve for x
    x = 140,387,324.42/13,311.66
  6. Step 6: Final answer
    x = 10,546.19

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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.