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Finding the Fourth Proportional to 1,752, 2,630.97 and 1,170.74

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Solution

The fourth proportional to 1,752, 2,630.97 and 1,170.74 is: 1,758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752 : 2,630.97 = 1,170.74 : x
  2. Step 2: Convert to fraction form
    1,752/2,630.97 = 1,170.74/x
  3. Step 3: Cross multiply
    1,752x = 2,630.97 × 1,170.74
  4. Step 4: Simplify right side
    1,752x = 3,080,173.05
  5. Step 5: Solve for x
    x = 3,080,173.05/1,752
  6. Step 6: Final answer
    x = 1,758.09

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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.