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Finding the Fourth Proportional to 5,758.63, 7,946.94 and 3,240.78

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Solution

The fourth proportional to 5,758.63, 7,946.94 and 3,240.78 is: 4,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.63 : 7,946.94 = 3,240.78 : x
  2. Step 2: Convert to fraction form
    5,758.63/7,946.94 = 3,240.78/x
  3. Step 3: Cross multiply
    5,758.63x = 7,946.94 × 3,240.78
  4. Step 4: Simplify right side
    5,758.63x = 25,754,268.01
  5. Step 5: Solve for x
    x = 25,754,268.01/5,758.63
  6. Step 6: Final answer
    x = 4,472.29

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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.