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Finding the Fourth Proportional to 2,881.68, 4,322.52 and 907.49

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Solution

The fourth proportional to 2,881.68, 4,322.52 and 907.49 is: 1,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.68 : 4,322.52 = 907.49 : x
  2. Step 2: Convert to fraction form
    2,881.68/4,322.52 = 907.49/x
  3. Step 3: Cross multiply
    2,881.68x = 4,322.52 × 907.49
  4. Step 4: Simplify right side
    2,881.68x = 3,922,622.06
  5. Step 5: Solve for x
    x = 3,922,622.06/2,881.68
  6. Step 6: Final answer
    x = 1,361.23

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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.