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Finding the Fourth Proportional to 2,111.40, 3,165.84 and 650.28

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Solution

The fourth proportional to 2,111.40, 3,165.84 and 650.28 is: 975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.40 : 3,165.84 = 650.28 : x
  2. Step 2: Convert to fraction form
    2,111.40/3,165.84 = 650.28/x
  3. Step 3: Cross multiply
    2,111.40x = 3,165.84 × 650.28
  4. Step 4: Simplify right side
    2,111.40x = 2,058,682.44
  5. Step 5: Solve for x
    x = 2,058,682.44/2,111.40
  6. Step 6: Final answer
    x = 975.03

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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.