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Finding the Fourth Proportional to 2,713.76, 3,742.44 and 1,930.40

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Solution

The fourth proportional to 2,713.76, 3,742.44 and 1,930.40 is: 2,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.76 : 3,742.44 = 1,930.40 : x
  2. Step 2: Convert to fraction form
    2,713.76/3,742.44 = 1,930.40/x
  3. Step 3: Cross multiply
    2,713.76x = 3,742.44 × 1,930.40
  4. Step 4: Simplify right side
    2,713.76x = 7,224,406.18
  5. Step 5: Solve for x
    x = 7,224,406.18/2,713.76
  6. Step 6: Final answer
    x = 2,662.14

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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.