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Finding the Fourth Proportional to 1,974.58, 2,725.02 and 1,310.30

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Solution

The fourth proportional to 1,974.58, 2,725.02 and 1,310.30 is: 1,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.58 : 2,725.02 = 1,310.30 : x
  2. Step 2: Convert to fraction form
    1,974.58/2,725.02 = 1,310.30/x
  3. Step 3: Cross multiply
    1,974.58x = 2,725.02 × 1,310.30
  4. Step 4: Simplify right side
    1,974.58x = 3,570,593.71
  5. Step 5: Solve for x
    x = 3,570,593.71/1,974.58
  6. Step 6: Final answer
    x = 1,808.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.