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Finding the Fourth Proportional to 2,305.16, 3,454.70 and 917.74

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Solution

The fourth proportional to 2,305.16, 3,454.70 and 917.74 is: 1,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.16 : 3,454.70 = 917.74 : x
  2. Step 2: Convert to fraction form
    2,305.16/3,454.70 = 917.74/x
  3. Step 3: Cross multiply
    2,305.16x = 3,454.70 × 917.74
  4. Step 4: Simplify right side
    2,305.16x = 3,170,516.38
  5. Step 5: Solve for x
    x = 3,170,516.38/2,305.16
  6. Step 6: Final answer
    x = 1,375.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.