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Finding the Fourth Proportional to 2,130.06, 3,193.26 and 813.06

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Solution

The fourth proportional to 2,130.06, 3,193.26 and 813.06 is: 1,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.06 : 3,193.26 = 813.06 : x
  2. Step 2: Convert to fraction form
    2,130.06/3,193.26 = 813.06/x
  3. Step 3: Cross multiply
    2,130.06x = 3,193.26 × 813.06
  4. Step 4: Simplify right side
    2,130.06x = 2,596,311.98
  5. Step 5: Solve for x
    x = 2,596,311.98/2,130.06
  6. Step 6: Final answer
    x = 1,218.89

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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.