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Finding the Fourth Proportional to 6,160.50, 8,501.49 and 3,366

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Solution

The fourth proportional to 6,160.50, 8,501.49 and 3,366 is: 4,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.50 : 8,501.49 = 3,366 : x
  2. Step 2: Convert to fraction form
    6,160.50/8,501.49 = 3,366/x
  3. Step 3: Cross multiply
    6,160.50x = 8,501.49 × 3,366
  4. Step 4: Simplify right side
    6,160.50x = 28,616,015.34
  5. Step 5: Solve for x
    x = 28,616,015.34/6,160.50
  6. Step 6: Final answer
    x = 4,645.08

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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.