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Finding the Fourth Proportional to 13,370.92, 18,444.72 and 8,647

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Solution

The fourth proportional to 13,370.92, 18,444.72 and 8,647 is: 11,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370.92 : 18,444.72 = 8,647 : x
  2. Step 2: Convert to fraction form
    13,370.92/18,444.72 = 8,647/x
  3. Step 3: Cross multiply
    13,370.92x = 18,444.72 × 8,647
  4. Step 4: Simplify right side
    13,370.92x = 159,491,493.84
  5. Step 5: Solve for x
    x = 159,491,493.84/13,370.92
  6. Step 6: Final answer
    x = 11,928.24

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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.