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Finding the Fourth Proportional to 1,911, 2,868.54 and 815.88

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Solution

The fourth proportional to 1,911, 2,868.54 and 815.88 is: 1,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911 : 2,868.54 = 815.88 : x
  2. Step 2: Convert to fraction form
    1,911/2,868.54 = 815.88/x
  3. Step 3: Cross multiply
    1,911x = 2,868.54 × 815.88
  4. Step 4: Simplify right side
    1,911x = 2,340,384.42
  5. Step 5: Solve for x
    x = 2,340,384.42/1,911
  6. Step 6: Final answer
    x = 1,224.69

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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.