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Finding the Fourth Proportional to 3,768.76, 5,192.40 and 2,719

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Solution

The fourth proportional to 3,768.76, 5,192.40 and 2,719 is: 3,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.76 : 5,192.40 = 2,719 : x
  2. Step 2: Convert to fraction form
    3,768.76/5,192.40 = 2,719/x
  3. Step 3: Cross multiply
    3,768.76x = 5,192.40 × 2,719
  4. Step 4: Simplify right side
    3,768.76x = 14,118,135.60
  5. Step 5: Solve for x
    x = 14,118,135.60/3,768.76
  6. Step 6: Final answer
    x = 3,746.10

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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.