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Finding the Fourth Proportional to 3,556.31, 5,334.66 and 959.45

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Solution

The fourth proportional to 3,556.31, 5,334.66 and 959.45 is: 1,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.31 : 5,334.66 = 959.45 : x
  2. Step 2: Convert to fraction form
    3,556.31/5,334.66 = 959.45/x
  3. Step 3: Cross multiply
    3,556.31x = 5,334.66 × 959.45
  4. Step 4: Simplify right side
    3,556.31x = 5,118,312.86
  5. Step 5: Solve for x
    x = 5,118,312.86/3,556.31
  6. Step 6: Final answer
    x = 1,439.22

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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.