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Finding the Fourth Proportional to 13,674.50, 18,866.49 and 8,366.66

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Solution

The fourth proportional to 13,674.50, 18,866.49 and 8,366.66 is: 11,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.50 : 18,866.49 = 8,366.66 : x
  2. Step 2: Convert to fraction form
    13,674.50/18,866.49 = 8,366.66/x
  3. Step 3: Cross multiply
    13,674.50x = 18,866.49 × 8,366.66
  4. Step 4: Simplify right side
    13,674.50x = 157,849,507.22
  5. Step 5: Solve for x
    x = 157,849,507.22/13,674.50
  6. Step 6: Final answer
    x = 11,543.35

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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.