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Finding the Fourth Proportional to 13,737.66, 18,958.23 and 8,429.82

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Solution

The fourth proportional to 13,737.66, 18,958.23 and 8,429.82 is: 11,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.66 : 18,958.23 = 8,429.82 : x
  2. Step 2: Convert to fraction form
    13,737.66/18,958.23 = 8,429.82/x
  3. Step 3: Cross multiply
    13,737.66x = 18,958.23 × 8,429.82
  4. Step 4: Simplify right side
    13,737.66x = 159,814,466.42
  5. Step 5: Solve for x
    x = 159,814,466.42/13,737.66
  6. Step 6: Final answer
    x = 11,633.31

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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.