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Finding the Fourth Proportional to 3,052.70, 4,212.70 and 1,655.45

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Solution

The fourth proportional to 3,052.70, 4,212.70 and 1,655.45 is: 2,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.70 : 4,212.70 = 1,655.45 : x
  2. Step 2: Convert to fraction form
    3,052.70/4,212.70 = 1,655.45/x
  3. Step 3: Cross multiply
    3,052.70x = 4,212.70 × 1,655.45
  4. Step 4: Simplify right side
    3,052.70x = 6,973,914.22
  5. Step 5: Solve for x
    x = 6,973,914.22/3,052.70
  6. Step 6: Final answer
    x = 2,284.51

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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.