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Finding the Fourth Proportional to 2,107.62, 3,160.62 and 1,456.38

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Solution

The fourth proportional to 2,107.62, 3,160.62 and 1,456.38 is: 2,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.62 : 3,160.62 = 1,456.38 : x
  2. Step 2: Convert to fraction form
    2,107.62/3,160.62 = 1,456.38/x
  3. Step 3: Cross multiply
    2,107.62x = 3,160.62 × 1,456.38
  4. Step 4: Simplify right side
    2,107.62x = 4,603,063.76
  5. Step 5: Solve for x
    x = 4,603,063.76/2,107.62
  6. Step 6: Final answer
    x = 2,184.01

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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.