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Finding the Fourth Proportional to 2,883.69, 4,325.67 and 803.68

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Solution

The fourth proportional to 2,883.69, 4,325.67 and 803.68 is: 1,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.69 : 4,325.67 = 803.68 : x
  2. Step 2: Convert to fraction form
    2,883.69/4,325.67 = 803.68/x
  3. Step 3: Cross multiply
    2,883.69x = 4,325.67 × 803.68
  4. Step 4: Simplify right side
    2,883.69x = 3,476,454.47
  5. Step 5: Solve for x
    x = 3,476,454.47/2,883.69
  6. Step 6: Final answer
    x = 1,205.56

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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.