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Finding the Fourth Proportional to 2,990.44, 4,492.32 and 1,823.44

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Solution

The fourth proportional to 2,990.44, 4,492.32 and 1,823.44 is: 2,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.44 : 4,492.32 = 1,823.44 : x
  2. Step 2: Convert to fraction form
    2,990.44/4,492.32 = 1,823.44/x
  3. Step 3: Cross multiply
    2,990.44x = 4,492.32 × 1,823.44
  4. Step 4: Simplify right side
    2,990.44x = 8,191,475.98
  5. Step 5: Solve for x
    x = 8,191,475.98/2,990.44
  6. Step 6: Final answer
    x = 2,739.22

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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.