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Finding the Fourth Proportional to 1,271.84, 1,907.36 and 1,200.64

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Solution

The fourth proportional to 1,271.84, 1,907.36 and 1,200.64 is: 1,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.84 : 1,907.36 = 1,200.64 : x
  2. Step 2: Convert to fraction form
    1,271.84/1,907.36 = 1,200.64/x
  3. Step 3: Cross multiply
    1,271.84x = 1,907.36 × 1,200.64
  4. Step 4: Simplify right side
    1,271.84x = 2,290,052.71
  5. Step 5: Solve for x
    x = 2,290,052.71/1,271.84
  6. Step 6: Final answer
    x = 1,800.58

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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.