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Finding the Fourth Proportional to 3,109.50, 4,291.20 and 1,712.34

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Solution

The fourth proportional to 3,109.50, 4,291.20 and 1,712.34 is: 2,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.50 : 4,291.20 = 1,712.34 : x
  2. Step 2: Convert to fraction form
    3,109.50/4,291.20 = 1,712.34/x
  3. Step 3: Cross multiply
    3,109.50x = 4,291.20 × 1,712.34
  4. Step 4: Simplify right side
    3,109.50x = 7,347,993.41
  5. Step 5: Solve for x
    x = 7,347,993.41/3,109.50
  6. Step 6: Final answer
    x = 2,363.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.