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Finding the Fourth Proportional to 3,867.76, 5,801.76 and 1,270.40

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Solution

The fourth proportional to 3,867.76, 5,801.76 and 1,270.40 is: 1,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.76 : 5,801.76 = 1,270.40 : x
  2. Step 2: Convert to fraction form
    3,867.76/5,801.76 = 1,270.40/x
  3. Step 3: Cross multiply
    3,867.76x = 5,801.76 × 1,270.40
  4. Step 4: Simplify right side
    3,867.76x = 7,370,555.90
  5. Step 5: Solve for x
    x = 7,370,555.90/3,867.76
  6. Step 6: Final answer
    x = 1,905.64

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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.