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Finding the Fourth Proportional to 2,809.74, 4,211.13 and 1,164.63

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Solution

The fourth proportional to 2,809.74, 4,211.13 and 1,164.63 is: 1,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.74 : 4,211.13 = 1,164.63 : x
  2. Step 2: Convert to fraction form
    2,809.74/4,211.13 = 1,164.63/x
  3. Step 3: Cross multiply
    2,809.74x = 4,211.13 × 1,164.63
  4. Step 4: Simplify right side
    2,809.74x = 4,904,408.33
  5. Step 5: Solve for x
    x = 4,904,408.33/2,809.74
  6. Step 6: Final answer
    x = 1,745.50

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1.5x scale

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.