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Finding the Fourth Proportional to 2,706.81, 3,735.40 and 1,527.86

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Solution

The fourth proportional to 2,706.81, 3,735.40 and 1,527.86 is: 2,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.81 : 3,735.40 = 1,527.86 : x
  2. Step 2: Convert to fraction form
    2,706.81/3,735.40 = 1,527.86/x
  3. Step 3: Cross multiply
    2,706.81x = 3,735.40 × 1,527.86
  4. Step 4: Simplify right side
    2,706.81x = 5,707,168.24
  5. Step 5: Solve for x
    x = 5,707,168.24/2,706.81
  6. Step 6: Final answer
    x = 2,108.45

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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.