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Finding the Fourth Proportional to 2,129.51, 3,192.36 and 830.67

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Solution

The fourth proportional to 2,129.51, 3,192.36 and 830.67 is: 1,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.51 : 3,192.36 = 830.67 : x
  2. Step 2: Convert to fraction form
    2,129.51/3,192.36 = 830.67/x
  3. Step 3: Cross multiply
    2,129.51x = 3,192.36 × 830.67
  4. Step 4: Simplify right side
    2,129.51x = 2,651,797.68
  5. Step 5: Solve for x
    x = 2,651,797.68/2,129.51
  6. Step 6: Final answer
    x = 1,245.26

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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.