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Finding the Fourth Proportional to 1,894.50, 2,614.76 and 1,811.48

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Solution

The fourth proportional to 1,894.50, 2,614.76 and 1,811.48 is: 2,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.50 : 2,614.76 = 1,811.48 : x
  2. Step 2: Convert to fraction form
    1,894.50/2,614.76 = 1,811.48/x
  3. Step 3: Cross multiply
    1,894.50x = 2,614.76 × 1,811.48
  4. Step 4: Simplify right side
    1,894.50x = 4,736,585.44
  5. Step 5: Solve for x
    x = 4,736,585.44/1,894.50
  6. Step 6: Final answer
    x = 2,500.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.