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Finding the Fourth Proportional to 2,378.90, 3,568.49 and 918.06

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Solution

The fourth proportional to 2,378.90, 3,568.49 and 918.06 is: 1,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.90 : 3,568.49 = 918.06 : x
  2. Step 2: Convert to fraction form
    2,378.90/3,568.49 = 918.06/x
  3. Step 3: Cross multiply
    2,378.90x = 3,568.49 × 918.06
  4. Step 4: Simplify right side
    2,378.90x = 3,276,087.93
  5. Step 5: Solve for x
    x = 3,276,087.93/2,378.90
  6. Step 6: Final answer
    x = 1,377.14

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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.