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Finding the Fourth Proportional to 2,111.08, 3,166.54 and 650.19

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Solution

The fourth proportional to 2,111.08, 3,166.54 and 650.19 is: 975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.08 : 3,166.54 = 650.19 : x
  2. Step 2: Convert to fraction form
    2,111.08/3,166.54 = 650.19/x
  3. Step 3: Cross multiply
    2,111.08x = 3,166.54 × 650.19
  4. Step 4: Simplify right side
    2,111.08x = 2,058,849.39
  5. Step 5: Solve for x
    x = 2,058,849.39/2,111.08
  6. Step 6: Final answer
    x = 975.26

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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.