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Finding the Fourth Proportional to 1,754.84, 2,635.50 and 1,207.28

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Solution

The fourth proportional to 1,754.84, 2,635.50 and 1,207.28 is: 1,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.84 : 2,635.50 = 1,207.28 : x
  2. Step 2: Convert to fraction form
    1,754.84/2,635.50 = 1,207.28/x
  3. Step 3: Cross multiply
    1,754.84x = 2,635.50 × 1,207.28
  4. Step 4: Simplify right side
    1,754.84x = 3,181,786.44
  5. Step 5: Solve for x
    x = 3,181,786.44/1,754.84
  6. Step 6: Final answer
    x = 1,813.15

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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.