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Finding the Fourth Proportional to 6,146, 8,481.54 and 3,351.50

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Solution

The fourth proportional to 6,146, 8,481.54 and 3,351.50 is: 4,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146 : 8,481.54 = 3,351.50 : x
  2. Step 2: Convert to fraction form
    6,146/8,481.54 = 3,351.50/x
  3. Step 3: Cross multiply
    6,146x = 8,481.54 × 3,351.50
  4. Step 4: Simplify right side
    6,146x = 28,425,881.31
  5. Step 5: Solve for x
    x = 28,425,881.31/6,146
  6. Step 6: Final answer
    x = 4,625.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.