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Finding the Fourth Proportional to 3,896.87, 5,866.12 and 3,495

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Solution

The fourth proportional to 3,896.87, 5,866.12 and 3,495 is: 5,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.87 : 5,866.12 = 3,495 : x
  2. Step 2: Convert to fraction form
    3,896.87/5,866.12 = 3,495/x
  3. Step 3: Cross multiply
    3,896.87x = 5,866.12 × 3,495
  4. Step 4: Simplify right side
    3,896.87x = 20,502,080.66
  5. Step 5: Solve for x
    x = 20,502,080.66/3,896.87
  6. Step 6: Final answer
    x = 5,261.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.