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Finding the Fourth Proportional to 7,446.78, 10,285.29 and 5,939.37

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Solution

The fourth proportional to 7,446.78, 10,285.29 and 5,939.37 is: 8,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.78 : 10,285.29 = 5,939.37 : x
  2. Step 2: Convert to fraction form
    7,446.78/10,285.29 = 5,939.37/x
  3. Step 3: Cross multiply
    7,446.78x = 10,285.29 × 5,939.37
  4. Step 4: Simplify right side
    7,446.78x = 61,088,142.87
  5. Step 5: Solve for x
    x = 61,088,142.87/7,446.78
  6. Step 6: Final answer
    x = 8,203.30

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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.