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Finding the Fourth Proportional to 2,989.95, 4,478.85 and 1,890.42

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Solution

The fourth proportional to 2,989.95, 4,478.85 and 1,890.42 is: 2,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.95 : 4,478.85 = 1,890.42 : x
  2. Step 2: Convert to fraction form
    2,989.95/4,478.85 = 1,890.42/x
  3. Step 3: Cross multiply
    2,989.95x = 4,478.85 × 1,890.42
  4. Step 4: Simplify right side
    2,989.95x = 8,466,907.62
  5. Step 5: Solve for x
    x = 8,466,907.62/2,989.95
  6. Step 6: Final answer
    x = 2,831.79

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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.