Home / 3,102.86-4,282.02-1,705.64

Finding the Fourth Proportional to 3,102.86, 4,282.02 and 1,705.64

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Solution

The fourth proportional to 3,102.86, 4,282.02 and 1,705.64 is: 2,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.86 : 4,282.02 = 1,705.64 : x
  2. Step 2: Convert to fraction form
    3,102.86/4,282.02 = 1,705.64/x
  3. Step 3: Cross multiply
    3,102.86x = 4,282.02 × 1,705.64
  4. Step 4: Simplify right side
    3,102.86x = 7,303,584.59
  5. Step 5: Solve for x
    x = 7,303,584.59/3,102.86
  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.