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Finding the Fourth Proportional to 2,019.61, 3,028.90 and 1,432.90

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Solution

The fourth proportional to 2,019.61, 3,028.90 and 1,432.90 is: 2,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.61 : 3,028.90 = 1,432.90 : x
  2. Step 2: Convert to fraction form
    2,019.61/3,028.90 = 1,432.90/x
  3. Step 3: Cross multiply
    2,019.61x = 3,028.90 × 1,432.90
  4. Step 4: Simplify right side
    2,019.61x = 4,340,099.66
  5. Step 5: Solve for x
    x = 4,340,099.66/2,019.61
  6. Step 6: Final answer
    x = 2,148.98

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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.