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Finding the Fourth Proportional to 4,628, 6,942.36 and 1,550

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Solution

The fourth proportional to 4,628, 6,942.36 and 1,550 is: 2,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628 : 6,942.36 = 1,550 : x
  2. Step 2: Convert to fraction form
    4,628/6,942.36 = 1,550/x
  3. Step 3: Cross multiply
    4,628x = 6,942.36 × 1,550
  4. Step 4: Simplify right side
    4,628x = 10,760,658
  5. Step 5: Solve for x
    x = 10,760,658/4,628
  6. Step 6: Final answer
    x = 2,325.12

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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.