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Finding the Fourth Proportional to 4,520.25, 6,780.50 and 1,442.25

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Solution

The fourth proportional to 4,520.25, 6,780.50 and 1,442.25 is: 2,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520.25 : 6,780.50 = 1,442.25 : x
  2. Step 2: Convert to fraction form
    4,520.25/6,780.50 = 1,442.25/x
  3. Step 3: Cross multiply
    4,520.25x = 6,780.50 × 1,442.25
  4. Step 4: Simplify right side
    4,520.25x = 9,779,168.91
  5. Step 5: Solve for x
    x = 9,779,168.91/4,520.25
  6. Step 6: Final answer
    x = 2,163.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.