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Finding the Fourth Proportional to 2,309.85, 3,466.44 and 904.47

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Solution

The fourth proportional to 2,309.85, 3,466.44 and 904.47 is: 1,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.85 : 3,466.44 = 904.47 : x
  2. Step 2: Convert to fraction form
    2,309.85/3,466.44 = 904.47/x
  3. Step 3: Cross multiply
    2,309.85x = 3,466.44 × 904.47
  4. Step 4: Simplify right side
    2,309.85x = 3,135,290.99
  5. Step 5: Solve for x
    x = 3,135,290.99/2,309.85
  6. Step 6: Final answer
    x = 1,357.36

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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.