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Finding the Fourth Proportional to 2,859.19, 4,288.64 and 911.14

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Solution

The fourth proportional to 2,859.19, 4,288.64 and 911.14 is: 1,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.19 : 4,288.64 = 911.14 : x
  2. Step 2: Convert to fraction form
    2,859.19/4,288.64 = 911.14/x
  3. Step 3: Cross multiply
    2,859.19x = 4,288.64 × 911.14
  4. Step 4: Simplify right side
    2,859.19x = 3,907,536.17
  5. Step 5: Solve for x
    x = 3,907,536.17/2,859.19
  6. Step 6: Final answer
    x = 1,366.66

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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.