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Finding the Fourth Proportional to 1,816.71, 2,709.12 and 1,801.08

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Solution

The fourth proportional to 1,816.71, 2,709.12 and 1,801.08 is: 2,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.71 : 2,709.12 = 1,801.08 : x
  2. Step 2: Convert to fraction form
    1,816.71/2,709.12 = 1,801.08/x
  3. Step 3: Cross multiply
    1,816.71x = 2,709.12 × 1,801.08
  4. Step 4: Simplify right side
    1,816.71x = 4,879,341.85
  5. Step 5: Solve for x
    x = 4,879,341.85/1,816.71
  6. Step 6: Final answer
    x = 2,685.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.