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Finding the Fourth Proportional to 2,993.57, 4,130.97 and 1,649.13

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Solution

The fourth proportional to 2,993.57, 4,130.97 and 1,649.13 is: 2,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.57 : 4,130.97 = 1,649.13 : x
  2. Step 2: Convert to fraction form
    2,993.57/4,130.97 = 1,649.13/x
  3. Step 3: Cross multiply
    2,993.57x = 4,130.97 × 1,649.13
  4. Step 4: Simplify right side
    2,993.57x = 6,812,506.56
  5. Step 5: Solve for x
    x = 6,812,506.56/2,993.57
  6. Step 6: Final answer
    x = 2,275.72

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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.