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Finding the Fourth Proportional to 1,851.67, 2,775.17 and 811.02

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Solution

The fourth proportional to 1,851.67, 2,775.17 and 811.02 is: 1,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.67 : 2,775.17 = 811.02 : x
  2. Step 2: Convert to fraction form
    1,851.67/2,775.17 = 811.02/x
  3. Step 3: Cross multiply
    1,851.67x = 2,775.17 × 811.02
  4. Step 4: Simplify right side
    1,851.67x = 2,250,720.40
  5. Step 5: Solve for x
    x = 2,250,720.40/1,851.67
  6. Step 6: Final answer
    x = 1,215.51

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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.