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Finding the Fourth Proportional to 2,993.80, 4,492.32 and 1,898.68

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Solution

The fourth proportional to 2,993.80, 4,492.32 and 1,898.68 is: 2,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.80 : 4,492.32 = 1,898.68 : x
  2. Step 2: Convert to fraction form
    2,993.80/4,492.32 = 1,898.68/x
  3. Step 3: Cross multiply
    2,993.80x = 4,492.32 × 1,898.68
  4. Step 4: Simplify right side
    2,993.80x = 8,529,478.14
  5. Step 5: Solve for x
    x = 8,529,478.14/2,993.80
  6. Step 6: Final answer
    x = 2,849.05

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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.