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Finding the Fourth Proportional to 2,969.71, 4,454.62 and 889.23

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Solution

The fourth proportional to 2,969.71, 4,454.62 and 889.23 is: 1,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.71 : 4,454.62 = 889.23 : x
  2. Step 2: Convert to fraction form
    2,969.71/4,454.62 = 889.23/x
  3. Step 3: Cross multiply
    2,969.71x = 4,454.62 × 889.23
  4. Step 4: Simplify right side
    2,969.71x = 3,961,181.74
  5. Step 5: Solve for x
    x = 3,961,181.74/2,969.71
  6. Step 6: Final answer
    x = 1,333.86

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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.