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Finding the Fourth Proportional to 3,946.82, 5,920.26 and 1,025.13

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Solution

The fourth proportional to 3,946.82, 5,920.26 and 1,025.13 is: 1,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.82 : 5,920.26 = 1,025.13 : x
  2. Step 2: Convert to fraction form
    3,946.82/5,920.26 = 1,025.13/x
  3. Step 3: Cross multiply
    3,946.82x = 5,920.26 × 1,025.13
  4. Step 4: Simplify right side
    3,946.82x = 6,069,031.01
  5. Step 5: Solve for x
    x = 6,069,031.01/3,946.82
  6. Step 6: Final answer
    x = 1,537.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.