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Finding the Fourth Proportional to 2,003.53, 3,005.60 and 907.90

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Solution

The fourth proportional to 2,003.53, 3,005.60 and 907.90 is: 1,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.53 : 3,005.60 = 907.90 : x
  2. Step 2: Convert to fraction form
    2,003.53/3,005.60 = 907.90/x
  3. Step 3: Cross multiply
    2,003.53x = 3,005.60 × 907.90
  4. Step 4: Simplify right side
    2,003.53x = 2,728,784.24
  5. Step 5: Solve for x
    x = 2,728,784.24/2,003.53
  6. Step 6: Final answer
    x = 1,361.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.