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Finding the Fourth Proportional to 6,246, 9,369.54 and 1,629

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Solution

The fourth proportional to 6,246, 9,369.54 and 1,629 is: 2,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246 : 9,369.54 = 1,629 : x
  2. Step 2: Convert to fraction form
    6,246/9,369.54 = 1,629/x
  3. Step 3: Cross multiply
    6,246x = 9,369.54 × 1,629
  4. Step 4: Simplify right side
    6,246x = 15,262,980.66
  5. Step 5: Solve for x
    x = 15,262,980.66/6,246
  6. Step 6: Final answer
    x = 2,443.64

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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.