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Finding the Fourth Proportional to 1,684.63, 2,527.76 and 1,270.86

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Solution

The fourth proportional to 1,684.63, 2,527.76 and 1,270.86 is: 1,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.63 : 2,527.76 = 1,270.86 : x
  2. Step 2: Convert to fraction form
    1,684.63/2,527.76 = 1,270.86/x
  3. Step 3: Cross multiply
    1,684.63x = 2,527.76 × 1,270.86
  4. Step 4: Simplify right side
    1,684.63x = 3,212,429.07
  5. Step 5: Solve for x
    x = 3,212,429.07/1,684.63
  6. Step 6: Final answer
    x = 1,906.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.