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Finding the Fourth Proportional to 3,668.75, 5,062.82 and 1,990.13

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Solution

The fourth proportional to 3,668.75, 5,062.82 and 1,990.13 is: 2,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.75 : 5,062.82 = 1,990.13 : x
  2. Step 2: Convert to fraction form
    3,668.75/5,062.82 = 1,990.13/x
  3. Step 3: Cross multiply
    3,668.75x = 5,062.82 × 1,990.13
  4. Step 4: Simplify right side
    3,668.75x = 10,075,649.63
  5. Step 5: Solve for x
    x = 10,075,649.63/3,668.75
  6. Step 6: Final answer
    x = 2,746.35

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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.