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Finding the Fourth Proportional to 2,864.84, 4,297.19 and 917.02

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Solution

The fourth proportional to 2,864.84, 4,297.19 and 917.02 is: 1,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.84 : 4,297.19 = 917.02 : x
  2. Step 2: Convert to fraction form
    2,864.84/4,297.19 = 917.02/x
  3. Step 3: Cross multiply
    2,864.84x = 4,297.19 × 917.02
  4. Step 4: Simplify right side
    2,864.84x = 3,940,593.85
  5. Step 5: Solve for x
    x = 3,940,593.85/2,864.84
  6. Step 6: Final answer
    x = 1,375.50

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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.