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Finding the Fourth Proportional to 14,362.31, 19,819.99 and 8,074.69

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Solution

The fourth proportional to 14,362.31, 19,819.99 and 8,074.69 is: 11,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.31 : 19,819.99 = 8,074.69 : x
  2. Step 2: Convert to fraction form
    14,362.31/19,819.99 = 8,074.69/x
  3. Step 3: Cross multiply
    14,362.31x = 19,819.99 × 8,074.69
  4. Step 4: Simplify right side
    14,362.31x = 160,040,235.60
  5. Step 5: Solve for x
    x = 160,040,235.60/14,362.31
  6. Step 6: Final answer
    x = 11,143.07

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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.