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Finding the Fourth Proportional to 13,039.92, 17,997.39 and 7,737.66

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Solution

The fourth proportional to 13,039.92, 17,997.39 and 7,737.66 is: 10,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.92 : 17,997.39 = 7,737.66 : x
  2. Step 2: Convert to fraction form
    13,039.92/17,997.39 = 7,737.66/x
  3. Step 3: Cross multiply
    13,039.92x = 17,997.39 × 7,737.66
  4. Step 4: Simplify right side
    13,039.92x = 139,257,684.71
  5. Step 5: Solve for x
    x = 139,257,684.71/13,039.92
  6. Step 6: Final answer
    x = 10,679.34

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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.