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Finding the Fourth Proportional to 1,405.37, 2,109.20 and 994.90

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Solution

The fourth proportional to 1,405.37, 2,109.20 and 994.90 is: 1,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.37 : 2,109.20 = 994.90 : x
  2. Step 2: Convert to fraction form
    1,405.37/2,109.20 = 994.90/x
  3. Step 3: Cross multiply
    1,405.37x = 2,109.20 × 994.90
  4. Step 4: Simplify right side
    1,405.37x = 2,098,438.11
  5. Step 5: Solve for x
    x = 2,098,438.11/1,405.37
  6. Step 6: Final answer
    x = 1,493.16

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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.