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Finding the Fourth Proportional to 13,624.56, 18,801.36 and 8,328.24

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Solution

The fourth proportional to 13,624.56, 18,801.36 and 8,328.24 is: 11,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.56 : 18,801.36 = 8,328.24 : x
  2. Step 2: Convert to fraction form
    13,624.56/18,801.36 = 8,328.24/x
  3. Step 3: Cross multiply
    13,624.56x = 18,801.36 × 8,328.24
  4. Step 4: Simplify right side
    13,624.56x = 156,582,238.41
  5. Step 5: Solve for x
    x = 156,582,238.41/13,624.56
  6. Step 6: Final answer
    x = 11,492.65

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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.