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Finding the Fourth Proportional to 1,671.88, 2,506.42 and 976.84

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Solution

The fourth proportional to 1,671.88, 2,506.42 and 976.84 is: 1,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.88 : 2,506.42 = 976.84 : x
  2. Step 2: Convert to fraction form
    1,671.88/2,506.42 = 976.84/x
  3. Step 3: Cross multiply
    1,671.88x = 2,506.42 × 976.84
  4. Step 4: Simplify right side
    1,671.88x = 2,448,371.31
  5. Step 5: Solve for x
    x = 2,448,371.31/1,671.88
  6. Step 6: Final answer
    x = 1,464.44

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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.