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Finding the Fourth Proportional to 12,047.87, 16,622.90 and 6,942.13

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Solution

The fourth proportional to 12,047.87, 16,622.90 and 6,942.13 is: 9,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.87 : 16,622.90 = 6,942.13 : x
  2. Step 2: Convert to fraction form
    12,047.87/16,622.90 = 6,942.13/x
  3. Step 3: Cross multiply
    12,047.87x = 16,622.90 × 6,942.13
  4. Step 4: Simplify right side
    12,047.87x = 115,398,332.78
  5. Step 5: Solve for x
    x = 115,398,332.78/12,047.87
  6. Step 6: Final answer
    x = 9,578.32

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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.