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Finding the Fourth Proportional to 3,703.32, 5,559.84 and 3,129.84

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Solution

The fourth proportional to 3,703.32, 5,559.84 and 3,129.84 is: 4,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.32 : 5,559.84 = 3,129.84 : x
  2. Step 2: Convert to fraction form
    3,703.32/5,559.84 = 3,129.84/x
  3. Step 3: Cross multiply
    3,703.32x = 5,559.84 × 3,129.84
  4. Step 4: Simplify right side
    3,703.32x = 17,401,409.63
  5. Step 5: Solve for x
    x = 17,401,409.63/3,703.32
  6. Step 6: Final answer
    x = 4,698.87

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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.