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Finding the Fourth Proportional to 3,404.32, 5,104.32 and 1,455.36

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Solution

The fourth proportional to 3,404.32, 5,104.32 and 1,455.36 is: 2,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.32 : 5,104.32 = 1,455.36 : x
  2. Step 2: Convert to fraction form
    3,404.32/5,104.32 = 1,455.36/x
  3. Step 3: Cross multiply
    3,404.32x = 5,104.32 × 1,455.36
  4. Step 4: Simplify right side
    3,404.32x = 7,428,623.16
  5. Step 5: Solve for x
    x = 7,428,623.16/3,404.32
  6. Step 6: Final answer
    x = 2,182.12

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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.