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Finding the Fourth Proportional to 14,663.85, 20,235.99 and 7,949.30

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Solution

The fourth proportional to 14,663.85, 20,235.99 and 7,949.30 is: 10,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.85 : 20,235.99 = 7,949.30 : x
  2. Step 2: Convert to fraction form
    14,663.85/20,235.99 = 7,949.30/x
  3. Step 3: Cross multiply
    14,663.85x = 20,235.99 × 7,949.30
  4. Step 4: Simplify right side
    14,663.85x = 160,861,992.69
  5. Step 5: Solve for x
    x = 160,861,992.69/14,663.85
  6. Step 6: Final answer
    x = 10,969.97

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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.