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Finding the Fourth Proportional to 2,378.66, 3,568.46 and 735.13

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Solution

The fourth proportional to 2,378.66, 3,568.46 and 735.13 is: 1,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.66 : 3,568.46 = 735.13 : x
  2. Step 2: Convert to fraction form
    2,378.66/3,568.46 = 735.13/x
  3. Step 3: Cross multiply
    2,378.66x = 3,568.46 × 735.13
  4. Step 4: Simplify right side
    2,378.66x = 2,623,282.00
  5. Step 5: Solve for x
    x = 2,623,282.00/2,378.66
  6. Step 6: Final answer
    x = 1,102.84

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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.