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Finding the Fourth Proportional to 2,111.05, 3,166.65 and 650.20

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Solution

The fourth proportional to 2,111.05, 3,166.65 and 650.20 is: 975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.05 : 3,166.65 = 650.20 : x
  2. Step 2: Convert to fraction form
    2,111.05/3,166.65 = 650.20/x
  3. Step 3: Cross multiply
    2,111.05x = 3,166.65 × 650.20
  4. Step 4: Simplify right side
    2,111.05x = 2,058,955.83
  5. Step 5: Solve for x
    x = 2,058,955.83/2,111.05
  6. Step 6: Final answer
    x = 975.32

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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.