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Finding the Fourth Proportional to 13,477.69, 18,593.94 and 8,439.76

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Solution

The fourth proportional to 13,477.69, 18,593.94 and 8,439.76 is: 11,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.69 : 18,593.94 = 8,439.76 : x
  2. Step 2: Convert to fraction form
    13,477.69/18,593.94 = 8,439.76/x
  3. Step 3: Cross multiply
    13,477.69x = 18,593.94 × 8,439.76
  4. Step 4: Simplify right side
    13,477.69x = 156,928,391.05
  5. Step 5: Solve for x
    x = 156,928,391.05/13,477.69
  6. Step 6: Final answer
    x = 11,643.57

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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.