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Finding the Fourth Proportional to 3,052, 4,212.39 and 1,725.76

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Solution

The fourth proportional to 3,052, 4,212.39 and 1,725.76 is: 2,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052 : 4,212.39 = 1,725.76 : x
  2. Step 2: Convert to fraction form
    3,052/4,212.39 = 1,725.76/x
  3. Step 3: Cross multiply
    3,052x = 4,212.39 × 1,725.76
  4. Step 4: Simplify right side
    3,052x = 7,269,574.17
  5. Step 5: Solve for x
    x = 7,269,574.17/3,052
  6. Step 6: Final answer
    x = 2,381.91

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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.