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Finding the Fourth Proportional to 3,556, 5,333.74 and 1,475.22

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Solution

The fourth proportional to 3,556, 5,333.74 and 1,475.22 is: 2,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556 : 5,333.74 = 1,475.22 : x
  2. Step 2: Convert to fraction form
    3,556/5,333.74 = 1,475.22/x
  3. Step 3: Cross multiply
    3,556x = 5,333.74 × 1,475.22
  4. Step 4: Simplify right side
    3,556x = 7,868,439.92
  5. Step 5: Solve for x
    x = 7,868,439.92/3,556
  6. Step 6: Final answer
    x = 2,212.72

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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.