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Finding the Fourth Proportional to 1,679.51, 2,506.56 and 1,635.77

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Solution

The fourth proportional to 1,679.51, 2,506.56 and 1,635.77 is: 2,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.51 : 2,506.56 = 1,635.77 : x
  2. Step 2: Convert to fraction form
    1,679.51/2,506.56 = 1,635.77/x
  3. Step 3: Cross multiply
    1,679.51x = 2,506.56 × 1,635.77
  4. Step 4: Simplify right side
    1,679.51x = 4,100,161.39
  5. Step 5: Solve for x
    x = 4,100,161.39/1,679.51
  6. Step 6: Final answer
    x = 2,441.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.