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Finding the Fourth Proportional to 2,756.81, 3,806.36 and 1,695.99

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Solution

The fourth proportional to 2,756.81, 3,806.36 and 1,695.99 is: 2,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.81 : 3,806.36 = 1,695.99 : x
  2. Step 2: Convert to fraction form
    2,756.81/3,806.36 = 1,695.99/x
  3. Step 3: Cross multiply
    2,756.81x = 3,806.36 × 1,695.99
  4. Step 4: Simplify right side
    2,756.81x = 6,455,548.50
  5. Step 5: Solve for x
    x = 6,455,548.50/2,756.81
  6. Step 6: Final answer
    x = 2,341.67

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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.