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Finding the Fourth Proportional to 2,140.26, 3,209.73 and 907.64

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Solution

The fourth proportional to 2,140.26, 3,209.73 and 907.64 is: 1,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.26 : 3,209.73 = 907.64 : x
  2. Step 2: Convert to fraction form
    2,140.26/3,209.73 = 907.64/x
  3. Step 3: Cross multiply
    2,140.26x = 3,209.73 × 907.64
  4. Step 4: Simplify right side
    2,140.26x = 2,913,279.34
  5. Step 5: Solve for x
    x = 2,913,279.34/2,140.26
  6. Step 6: Final answer
    x = 1,361.18

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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.