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Finding the Fourth Proportional to 11,729, 16,186.56 and 6,424.04

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Solution

The fourth proportional to 11,729, 16,186.56 and 6,424.04 is: 8,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729 : 16,186.56 = 6,424.04 : x
  2. Step 2: Convert to fraction form
    11,729/16,186.56 = 6,424.04/x
  3. Step 3: Cross multiply
    11,729x = 16,186.56 × 6,424.04
  4. Step 4: Simplify right side
    11,729x = 103,983,108.90
  5. Step 5: Solve for x
    x = 103,983,108.90/11,729
  6. Step 6: Final answer
    x = 8,865.47

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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.