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Finding the Fourth Proportional to 4,620, 6,930.15 and 1,157.25

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Solution

The fourth proportional to 4,620, 6,930.15 and 1,157.25 is: 1,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620 : 6,930.15 = 1,157.25 : x
  2. Step 2: Convert to fraction form
    4,620/6,930.15 = 1,157.25/x
  3. Step 3: Cross multiply
    4,620x = 6,930.15 × 1,157.25
  4. Step 4: Simplify right side
    4,620x = 8,019,916.09
  5. Step 5: Solve for x
    x = 8,019,916.09/4,620
  6. Step 6: Final answer
    x = 1,735.91

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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.