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Finding the Fourth Proportional to 2,911.30, 4,365.67 and 858.82

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Solution

The fourth proportional to 2,911.30, 4,365.67 and 858.82 is: 1,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.30 : 4,365.67 = 858.82 : x
  2. Step 2: Convert to fraction form
    2,911.30/4,365.67 = 858.82/x
  3. Step 3: Cross multiply
    2,911.30x = 4,365.67 × 858.82
  4. Step 4: Simplify right side
    2,911.30x = 3,749,324.71
  5. Step 5: Solve for x
    x = 3,749,324.71/2,911.30
  6. Step 6: Final answer
    x = 1,287.85

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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.