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Finding the Fourth Proportional to 3,903.36, 5,859.36 and 2,261.76

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Solution

The fourth proportional to 3,903.36, 5,859.36 and 2,261.76 is: 3,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.36 : 5,859.36 = 2,261.76 : x
  2. Step 2: Convert to fraction form
    3,903.36/5,859.36 = 2,261.76/x
  3. Step 3: Cross multiply
    3,903.36x = 5,859.36 × 2,261.76
  4. Step 4: Simplify right side
    3,903.36x = 13,252,466.07
  5. Step 5: Solve for x
    x = 13,252,466.07/3,903.36
  6. Step 6: Final answer
    x = 3,395.14

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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.