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Finding the Fourth Proportional to 2,002.96, 3,005.39 and 907.66

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Solution

The fourth proportional to 2,002.96, 3,005.39 and 907.66 is: 1,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.96 : 3,005.39 = 907.66 : x
  2. Step 2: Convert to fraction form
    2,002.96/3,005.39 = 907.66/x
  3. Step 3: Cross multiply
    2,002.96x = 3,005.39 × 907.66
  4. Step 4: Simplify right side
    2,002.96x = 2,727,872.29
  5. Step 5: Solve for x
    x = 2,727,872.29/2,002.96
  6. Step 6: Final answer
    x = 1,361.92

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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.