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Finding the Fourth Proportional to 2,122.90, 3,184.52 and 735.67

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Solution

The fourth proportional to 2,122.90, 3,184.52 and 735.67 is: 1,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.90 : 3,184.52 = 735.67 : x
  2. Step 2: Convert to fraction form
    2,122.90/3,184.52 = 735.67/x
  3. Step 3: Cross multiply
    2,122.90x = 3,184.52 × 735.67
  4. Step 4: Simplify right side
    2,122.90x = 2,342,756.13
  5. Step 5: Solve for x
    x = 2,342,756.13/2,122.90
  6. Step 6: Final answer
    x = 1,103.57

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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.