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Finding the Fourth Proportional to 14,486.89, 19,993.01 and 8,113.15

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Solution

The fourth proportional to 14,486.89, 19,993.01 and 8,113.15 is: 11,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.89 : 19,993.01 = 8,113.15 : x
  2. Step 2: Convert to fraction form
    14,486.89/19,993.01 = 8,113.15/x
  3. Step 3: Cross multiply
    14,486.89x = 19,993.01 × 8,113.15
  4. Step 4: Simplify right side
    14,486.89x = 162,206,289.08
  5. Step 5: Solve for x
    x = 162,206,289.08/14,486.89
  6. Step 6: Final answer
    x = 11,196.76

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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.