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Finding the Fourth Proportional to 3,556, 5,334.52 and 1,057.40

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Solution

The fourth proportional to 3,556, 5,334.52 and 1,057.40 is: 1,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556 : 5,334.52 = 1,057.40 : x
  2. Step 2: Convert to fraction form
    3,556/5,334.52 = 1,057.40/x
  3. Step 3: Cross multiply
    3,556x = 5,334.52 × 1,057.40
  4. Step 4: Simplify right side
    3,556x = 5,640,721.45
  5. Step 5: Solve for x
    x = 5,640,721.45/3,556
  6. Step 6: Final answer
    x = 1,586.25

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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.