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Finding the Fourth Proportional to 2,122.93, 3,184.40 and 662.08

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Solution

The fourth proportional to 2,122.93, 3,184.40 and 662.08 is: 993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.93 : 3,184.40 = 662.08 : x
  2. Step 2: Convert to fraction form
    2,122.93/3,184.40 = 662.08/x
  3. Step 3: Cross multiply
    2,122.93x = 3,184.40 × 662.08
  4. Step 4: Simplify right side
    2,122.93x = 2,108,327.55
  5. Step 5: Solve for x
    x = 2,108,327.55/2,122.93
  6. Step 6: Final answer
    x = 993.12

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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.