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Finding the Fourth Proportional to 2,865.72, 4,299 and 917.68

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Solution

The fourth proportional to 2,865.72, 4,299 and 917.68 is: 1,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.72 : 4,299 = 917.68 : x
  2. Step 2: Convert to fraction form
    2,865.72/4,299 = 917.68/x
  3. Step 3: Cross multiply
    2,865.72x = 4,299 × 917.68
  4. Step 4: Simplify right side
    2,865.72x = 3,945,106.32
  5. Step 5: Solve for x
    x = 3,945,106.32/2,865.72
  6. Step 6: Final answer
    x = 1,376.65

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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.