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Finding the Fourth Proportional to 1,816.02, 2,721.93 and 774.45

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Solution

The fourth proportional to 1,816.02, 2,721.93 and 774.45 is: 1,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.02 : 2,721.93 = 774.45 : x
  2. Step 2: Convert to fraction form
    1,816.02/2,721.93 = 774.45/x
  3. Step 3: Cross multiply
    1,816.02x = 2,721.93 × 774.45
  4. Step 4: Simplify right side
    1,816.02x = 2,107,998.69
  5. Step 5: Solve for x
    x = 2,107,998.69/1,816.02
  6. Step 6: Final answer
    x = 1,160.78

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1.5x scale

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.