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Finding the Fourth Proportional to 3,271.80, 4,907.70 and 2,947.80

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Solution

The fourth proportional to 3,271.80, 4,907.70 and 2,947.80 is: 4,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.80 : 4,907.70 = 2,947.80 : x
  2. Step 2: Convert to fraction form
    3,271.80/4,907.70 = 2,947.80/x
  3. Step 3: Cross multiply
    3,271.80x = 4,907.70 × 2,947.80
  4. Step 4: Simplify right side
    3,271.80x = 14,466,918.06
  5. Step 5: Solve for x
    x = 14,466,918.06/3,271.80
  6. Step 6: Final answer
    x = 4,421.70

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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.