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Finding the Fourth Proportional to 3,071.88, 4,603.68 and 1,122.24

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Solution

The fourth proportional to 3,071.88, 4,603.68 and 1,122.24 is: 1,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.88 : 4,603.68 = 1,122.24 : x
  2. Step 2: Convert to fraction form
    3,071.88/4,603.68 = 1,122.24/x
  3. Step 3: Cross multiply
    3,071.88x = 4,603.68 × 1,122.24
  4. Step 4: Simplify right side
    3,071.88x = 5,166,433.84
  5. Step 5: Solve for x
    x = 5,166,433.84/3,071.88
  6. Step 6: Final answer
    x = 1,681.85

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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.