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Finding the Fourth Proportional to 6,661.87, 9,193.45 and 3,677.70

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Solution

The fourth proportional to 6,661.87, 9,193.45 and 3,677.70 is: 5,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.87 : 9,193.45 = 3,677.70 : x
  2. Step 2: Convert to fraction form
    6,661.87/9,193.45 = 3,677.70/x
  3. Step 3: Cross multiply
    6,661.87x = 9,193.45 × 3,677.70
  4. Step 4: Simplify right side
    6,661.87x = 33,810,783.24
  5. Step 5: Solve for x
    x = 33,810,783.24/6,661.87
  6. Step 6: Final answer
    x = 5,075.27

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1.5x scale

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.