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Finding the Fourth Proportional to 2,859.68, 4,289.47 and 911.86

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Solution

The fourth proportional to 2,859.68, 4,289.47 and 911.86 is: 1,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.68 : 4,289.47 = 911.86 : x
  2. Step 2: Convert to fraction form
    2,859.68/4,289.47 = 911.86/x
  3. Step 3: Cross multiply
    2,859.68x = 4,289.47 × 911.86
  4. Step 4: Simplify right side
    2,859.68x = 3,911,396.11
  5. Step 5: Solve for x
    x = 3,911,396.11/2,859.68
  6. Step 6: Final answer
    x = 1,367.77

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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.