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Finding the Fourth Proportional to 3,126.92, 4,315 and 1,729.64

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Solution

The fourth proportional to 3,126.92, 4,315 and 1,729.64 is: 2,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.92 : 4,315 = 1,729.64 : x
  2. Step 2: Convert to fraction form
    3,126.92/4,315 = 1,729.64/x
  3. Step 3: Cross multiply
    3,126.92x = 4,315 × 1,729.64
  4. Step 4: Simplify right side
    3,126.92x = 7,463,396.60
  5. Step 5: Solve for x
    x = 7,463,396.60/3,126.92
  6. Step 6: Final answer
    x = 2,386.82

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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.