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Finding the Fourth Proportional to 6,238, 9,357.54 and 1,621

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Solution

The fourth proportional to 6,238, 9,357.54 and 1,621 is: 2,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238 : 9,357.54 = 1,621 : x
  2. Step 2: Convert to fraction form
    6,238/9,357.54 = 1,621/x
  3. Step 3: Cross multiply
    6,238x = 9,357.54 × 1,621
  4. Step 4: Simplify right side
    6,238x = 15,168,572.34
  5. Step 5: Solve for x
    x = 15,168,572.34/6,238
  6. Step 6: Final answer
    x = 2,431.64

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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.