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Finding the Fourth Proportional to 2,199.46, 3,298.83 and 813.45

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Solution

The fourth proportional to 2,199.46, 3,298.83 and 813.45 is: 1,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.46 : 3,298.83 = 813.45 : x
  2. Step 2: Convert to fraction form
    2,199.46/3,298.83 = 813.45/x
  3. Step 3: Cross multiply
    2,199.46x = 3,298.83 × 813.45
  4. Step 4: Simplify right side
    2,199.46x = 2,683,441.51
  5. Step 5: Solve for x
    x = 2,683,441.51/2,199.46
  6. Step 6: Final answer
    x = 1,220.05

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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.