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Finding the Fourth Proportional to 3,646, 5,031.48 and 1,990

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Solution

The fourth proportional to 3,646, 5,031.48 and 1,990 is: 2,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646 : 5,031.48 = 1,990 : x
  2. Step 2: Convert to fraction form
    3,646/5,031.48 = 1,990/x
  3. Step 3: Cross multiply
    3,646x = 5,031.48 × 1,990
  4. Step 4: Simplify right side
    3,646x = 10,012,645.20
  5. Step 5: Solve for x
    x = 10,012,645.20/3,646
  6. Step 6: Final answer
    x = 2,746.20

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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.