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Finding the Fourth Proportional to 4,662.09, 6,991.65 and 1,889.46

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Solution

The fourth proportional to 4,662.09, 6,991.65 and 1,889.46 is: 2,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.09 : 6,991.65 = 1,889.46 : x
  2. Step 2: Convert to fraction form
    4,662.09/6,991.65 = 1,889.46/x
  3. Step 3: Cross multiply
    4,662.09x = 6,991.65 × 1,889.46
  4. Step 4: Simplify right side
    4,662.09x = 13,210,443.01
  5. Step 5: Solve for x
    x = 13,210,443.01/4,662.09
  6. Step 6: Final answer
    x = 2,833.59

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1.5x scale

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.