Home / 3,102.50-4,281.54-1,705.34

Finding the Fourth Proportional to 3,102.50, 4,281.54 and 1,705.34

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Solution

The fourth proportional to 3,102.50, 4,281.54 and 1,705.34 is: 2,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.50 : 4,281.54 = 1,705.34 : x
  2. Step 2: Convert to fraction form
    3,102.50/4,281.54 = 1,705.34/x
  3. Step 3: Cross multiply
    3,102.50x = 4,281.54 × 1,705.34
  4. Step 4: Simplify right side
    3,102.50x = 7,301,481.42
  5. Step 5: Solve for x
    x = 7,301,481.42/3,102.50
  6. Step 6: Final answer
    x = 2,353.42

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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.