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Finding the Fourth Proportional to 2,048.21, 3,072.32 and 748.97

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Solution

The fourth proportional to 2,048.21, 3,072.32 and 748.97 is: 1,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.21 : 3,072.32 = 748.97 : x
  2. Step 2: Convert to fraction form
    2,048.21/3,072.32 = 748.97/x
  3. Step 3: Cross multiply
    2,048.21x = 3,072.32 × 748.97
  4. Step 4: Simplify right side
    2,048.21x = 2,301,075.51
  5. Step 5: Solve for x
    x = 2,301,075.51/2,048.21
  6. Step 6: Final answer
    x = 1,123.46

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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.