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Finding the Fourth Proportional to 2,635.25, 3,952.87 and 904.01

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Solution

The fourth proportional to 2,635.25, 3,952.87 and 904.01 is: 1,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.25 : 3,952.87 = 904.01 : x
  2. Step 2: Convert to fraction form
    2,635.25/3,952.87 = 904.01/x
  3. Step 3: Cross multiply
    2,635.25x = 3,952.87 × 904.01
  4. Step 4: Simplify right side
    2,635.25x = 3,573,411.98
  5. Step 5: Solve for x
    x = 3,573,411.98/2,635.25
  6. Step 6: Final answer
    x = 1,356.01

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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.