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Finding the Fourth Proportional to 3,485, 5,228.32 and 2,509.36

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Solution

The fourth proportional to 3,485, 5,228.32 and 2,509.36 is: 3,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485 : 5,228.32 = 2,509.36 : x
  2. Step 2: Convert to fraction form
    3,485/5,228.32 = 2,509.36/x
  3. Step 3: Cross multiply
    3,485x = 5,228.32 × 2,509.36
  4. Step 4: Simplify right side
    3,485x = 13,119,737.08
  5. Step 5: Solve for x
    x = 13,119,737.08/3,485
  6. Step 6: Final answer
    x = 3,764.63

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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.