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Finding the Fourth Proportional to 3,102.94, 4,282 and 1,705.69

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Solution

The fourth proportional to 3,102.94, 4,282 and 1,705.69 is: 2,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.94 : 4,282 = 1,705.69 : x
  2. Step 2: Convert to fraction form
    3,102.94/4,282 = 1,705.69/x
  3. Step 3: Cross multiply
    3,102.94x = 4,282 × 1,705.69
  4. Step 4: Simplify right side
    3,102.94x = 7,303,764.58
  5. Step 5: Solve for x
    x = 7,303,764.58/3,102.94
  6. Step 6: Final answer
    x = 2,353.82

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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.