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Finding the Fourth Proportional to 13,381.59, 18,461.79 and 8,074.47

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Solution

The fourth proportional to 13,381.59, 18,461.79 and 8,074.47 is: 11,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.59 : 18,461.79 = 8,074.47 : x
  2. Step 2: Convert to fraction form
    13,381.59/18,461.79 = 8,074.47/x
  3. Step 3: Cross multiply
    13,381.59x = 18,461.79 × 8,074.47
  4. Step 4: Simplify right side
    13,381.59x = 149,069,169.50
  5. Step 5: Solve for x
    x = 149,069,169.50/13,381.59
  6. Step 6: Final answer
    x = 11,139.87

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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.