Home / 3,102.64-4,281.46-1,705.39

Finding the Fourth Proportional to 3,102.64, 4,281.46 and 1,705.39

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Solution

The fourth proportional to 3,102.64, 4,281.46 and 1,705.39 is: 2,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.64 : 4,281.46 = 1,705.39 : x
  2. Step 2: Convert to fraction form
    3,102.64/4,281.46 = 1,705.39/x
  3. Step 3: Cross multiply
    3,102.64x = 4,281.46 × 1,705.39
  4. Step 4: Simplify right side
    3,102.64x = 7,301,559.07
  5. Step 5: Solve for x
    x = 7,301,559.07/3,102.64
  6. Step 6: Final answer
    x = 2,353.34

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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.