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Finding the Fourth Proportional to 13,489.92, 18,624 and 8,528.64

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Solution

The fourth proportional to 13,489.92, 18,624 and 8,528.64 is: 11,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.92 : 18,624 = 8,528.64 : x
  2. Step 2: Convert to fraction form
    13,489.92/18,624 = 8,528.64/x
  3. Step 3: Cross multiply
    13,489.92x = 18,624 × 8,528.64
  4. Step 4: Simplify right side
    13,489.92x = 158,837,391.36
  5. Step 5: Solve for x
    x = 158,837,391.36/13,489.92
  6. Step 6: Final answer
    x = 11,774.52

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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.