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Finding the Fourth Proportional to 2,107.62, 2,908.71 and 1,223.71

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Solution

The fourth proportional to 2,107.62, 2,908.71 and 1,223.71 is: 1,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.62 : 2,908.71 = 1,223.71 : x
  2. Step 2: Convert to fraction form
    2,107.62/2,908.71 = 1,223.71/x
  3. Step 3: Cross multiply
    2,107.62x = 2,908.71 × 1,223.71
  4. Step 4: Simplify right side
    2,107.62x = 3,559,410.24
  5. Step 5: Solve for x
    x = 3,559,410.24/2,107.62
  6. Step 6: Final answer
    x = 1,688.83

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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.