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Finding the Fourth Proportional to 3,158.39, 4,737.56 and 1,427.02

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Solution

The fourth proportional to 3,158.39, 4,737.56 and 1,427.02 is: 2,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.39 : 4,737.56 = 1,427.02 : x
  2. Step 2: Convert to fraction form
    3,158.39/4,737.56 = 1,427.02/x
  3. Step 3: Cross multiply
    3,158.39x = 4,737.56 × 1,427.02
  4. Step 4: Simplify right side
    3,158.39x = 6,760,573.89
  5. Step 5: Solve for x
    x = 6,760,573.89/3,158.39
  6. Step 6: Final answer
    x = 2,140.51

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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.