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Finding the Fourth Proportional to 9,384.28, 12,949.22 and 5,192.28

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Solution

The fourth proportional to 9,384.28, 12,949.22 and 5,192.28 is: 7,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.28 : 12,949.22 = 5,192.28 : x
  2. Step 2: Convert to fraction form
    9,384.28/12,949.22 = 5,192.28/x
  3. Step 3: Cross multiply
    9,384.28x = 12,949.22 × 5,192.28
  4. Step 4: Simplify right side
    9,384.28x = 67,235,976.02
  5. Step 5: Solve for x
    x = 67,235,976.02/9,384.28
  6. Step 6: Final answer
    x = 7,164.75

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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.