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Finding the Fourth Proportional to 1,851.45, 2,777.91 and 810.90

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Solution

The fourth proportional to 1,851.45, 2,777.91 and 810.90 is: 1,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.45 : 2,777.91 = 810.90 : x
  2. Step 2: Convert to fraction form
    1,851.45/2,777.91 = 810.90/x
  3. Step 3: Cross multiply
    1,851.45x = 2,777.91 × 810.90
  4. Step 4: Simplify right side
    1,851.45x = 2,252,607.22
  5. Step 5: Solve for x
    x = 2,252,607.22/1,851.45
  6. Step 6: Final answer
    x = 1,216.67

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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.