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Finding the Fourth Proportional to 2,225.81, 3,339.47 and 994.07

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Solution

The fourth proportional to 2,225.81, 3,339.47 and 994.07 is: 1,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.81 : 3,339.47 = 994.07 : x
  2. Step 2: Convert to fraction form
    2,225.81/3,339.47 = 994.07/x
  3. Step 3: Cross multiply
    2,225.81x = 3,339.47 × 994.07
  4. Step 4: Simplify right side
    2,225.81x = 3,319,652.73
  5. Step 5: Solve for x
    x = 3,319,652.73/2,225.81
  6. Step 6: Final answer
    x = 1,491.44

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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.