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Finding the Fourth Proportional to 9,384.87, 12,949.31 and 5,351.62

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Solution

The fourth proportional to 9,384.87, 12,949.31 and 5,351.62 is: 7,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.87 : 12,949.31 = 5,351.62 : x
  2. Step 2: Convert to fraction form
    9,384.87/12,949.31 = 5,351.62/x
  3. Step 3: Cross multiply
    9,384.87x = 12,949.31 × 5,351.62
  4. Step 4: Simplify right side
    9,384.87x = 69,299,786.38
  5. Step 5: Solve for x
    x = 69,299,786.38/9,384.87
  6. Step 6: Final answer
    x = 7,384.20

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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.