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Finding the Fourth Proportional to 2,140.20, 3,209.73 and 907.62

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Solution

The fourth proportional to 2,140.20, 3,209.73 and 907.62 is: 1,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.20 : 3,209.73 = 907.62 : x
  2. Step 2: Convert to fraction form
    2,140.20/3,209.73 = 907.62/x
  3. Step 3: Cross multiply
    2,140.20x = 3,209.73 × 907.62
  4. Step 4: Simplify right side
    2,140.20x = 2,913,215.14
  5. Step 5: Solve for x
    x = 2,913,215.14/2,140.20
  6. Step 6: Final answer
    x = 1,361.19

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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.