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Finding the Fourth Proportional to 2,551.68, 3,827.10 and 907.98

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Solution

The fourth proportional to 2,551.68, 3,827.10 and 907.98 is: 1,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.68 : 3,827.10 = 907.98 : x
  2. Step 2: Convert to fraction form
    2,551.68/3,827.10 = 907.98/x
  3. Step 3: Cross multiply
    2,551.68x = 3,827.10 × 907.98
  4. Step 4: Simplify right side
    2,551.68x = 3,474,930.26
  5. Step 5: Solve for x
    x = 3,474,930.26/2,551.68
  6. Step 6: Final answer
    x = 1,361.82

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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.