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Finding the Fourth Proportional to 9,413, 14,121.90 and 3,257

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Solution

The fourth proportional to 9,413, 14,121.90 and 3,257 is: 4,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413 : 14,121.90 = 3,257 : x
  2. Step 2: Convert to fraction form
    9,413/14,121.90 = 3,257/x
  3. Step 3: Cross multiply
    9,413x = 14,121.90 × 3,257
  4. Step 4: Simplify right side
    9,413x = 45,995,028.30
  5. Step 5: Solve for x
    x = 45,995,028.30/9,413
  6. Step 6: Final answer
    x = 4,886.33

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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.