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Finding the Fourth Proportional to 13,502.68, 18,628.50 and 8,458.12

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Solution

The fourth proportional to 13,502.68, 18,628.50 and 8,458.12 is: 11,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.68 : 18,628.50 = 8,458.12 : x
  2. Step 2: Convert to fraction form
    13,502.68/18,628.50 = 8,458.12/x
  3. Step 3: Cross multiply
    13,502.68x = 18,628.50 × 8,458.12
  4. Step 4: Simplify right side
    13,502.68x = 157,562,041.85
  5. Step 5: Solve for x
    x = 157,562,041.85/13,502.68
  6. Step 6: Final answer
    x = 11,668.95

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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.