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Finding the Fourth Proportional to 1,851.36, 2,776.05 and 810.78

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Solution

The fourth proportional to 1,851.36, 2,776.05 and 810.78 is: 1,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.36 : 2,776.05 = 810.78 : x
  2. Step 2: Convert to fraction form
    1,851.36/2,776.05 = 810.78/x
  3. Step 3: Cross multiply
    1,851.36x = 2,776.05 × 810.78
  4. Step 4: Simplify right side
    1,851.36x = 2,250,765.82
  5. Step 5: Solve for x
    x = 2,250,765.82/1,851.36
  6. Step 6: Final answer
    x = 1,215.74

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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.