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Finding the Fourth Proportional to 13,737.25, 20,606.96 and 5,946.13

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Solution

The fourth proportional to 13,737.25, 20,606.96 and 5,946.13 is: 8,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.25 : 20,606.96 = 5,946.13 : x
  2. Step 2: Convert to fraction form
    13,737.25/20,606.96 = 5,946.13/x
  3. Step 3: Cross multiply
    13,737.25x = 20,606.96 × 5,946.13
  4. Step 4: Simplify right side
    13,737.25x = 122,531,663.06
  5. Step 5: Solve for x
    x = 122,531,663.06/13,737.25
  6. Step 6: Final answer
    x = 8,919.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.