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Finding the Fourth Proportional to 1,872.09, 2,806.61 and 777.24

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Solution

The fourth proportional to 1,872.09, 2,806.61 and 777.24 is: 1,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.09 : 2,806.61 = 777.24 : x
  2. Step 2: Convert to fraction form
    1,872.09/2,806.61 = 777.24/x
  3. Step 3: Cross multiply
    1,872.09x = 2,806.61 × 777.24
  4. Step 4: Simplify right side
    1,872.09x = 2,181,405.67
  5. Step 5: Solve for x
    x = 2,181,405.67/1,872.09
  6. Step 6: Final answer
    x = 1,165.22

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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.