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Finding the Fourth Proportional to 2,271.90, 3,407.87 and 810.03

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Solution

The fourth proportional to 2,271.90, 3,407.87 and 810.03 is: 1,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.90 : 3,407.87 = 810.03 : x
  2. Step 2: Convert to fraction form
    2,271.90/3,407.87 = 810.03/x
  3. Step 3: Cross multiply
    2,271.90x = 3,407.87 × 810.03
  4. Step 4: Simplify right side
    2,271.90x = 2,760,476.94
  5. Step 5: Solve for x
    x = 2,760,476.94/2,271.90
  6. Step 6: Final answer
    x = 1,215.05

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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.