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Finding the Fourth Proportional to 13,502.95, 18,633.59 and 8,469.88

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Solution

The fourth proportional to 13,502.95, 18,633.59 and 8,469.88 is: 11,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.95 : 18,633.59 = 8,469.88 : x
  2. Step 2: Convert to fraction form
    13,502.95/18,633.59 = 8,469.88/x
  3. Step 3: Cross multiply
    13,502.95x = 18,633.59 × 8,469.88
  4. Step 4: Simplify right side
    13,502.95x = 157,824,228.92
  5. Step 5: Solve for x
    x = 157,824,228.92/13,502.95
  6. Step 6: Final answer
    x = 11,688.13

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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.