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Finding the Fourth Proportional to 2,912.76, 4,019.10 and 1,733.64

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Solution

The fourth proportional to 2,912.76, 4,019.10 and 1,733.64 is: 2,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.76 : 4,019.10 = 1,733.64 : x
  2. Step 2: Convert to fraction form
    2,912.76/4,019.10 = 1,733.64/x
  3. Step 3: Cross multiply
    2,912.76x = 4,019.10 × 1,733.64
  4. Step 4: Simplify right side
    2,912.76x = 6,967,672.52
  5. Step 5: Solve for x
    x = 6,967,672.52/2,912.76
  6. Step 6: Final answer
    x = 2,392.12

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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.