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Finding the Fourth Proportional to 1,527.87, 2,291.19 and 911.73

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Solution

The fourth proportional to 1,527.87, 2,291.19 and 911.73 is: 1,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.87 : 2,291.19 = 911.73 : x
  2. Step 2: Convert to fraction form
    1,527.87/2,291.19 = 911.73/x
  3. Step 3: Cross multiply
    1,527.87x = 2,291.19 × 911.73
  4. Step 4: Simplify right side
    1,527.87x = 2,088,946.66
  5. Step 5: Solve for x
    x = 2,088,946.66/1,527.87
  6. Step 6: Final answer
    x = 1,367.23

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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.