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Finding the Fourth Proportional to 3,271, 4,907.84 and 1,421.16

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Solution

The fourth proportional to 3,271, 4,907.84 and 1,421.16 is: 2,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271 : 4,907.84 = 1,421.16 : x
  2. Step 2: Convert to fraction form
    3,271/4,907.84 = 1,421.16/x
  3. Step 3: Cross multiply
    3,271x = 4,907.84 × 1,421.16
  4. Step 4: Simplify right side
    3,271x = 6,974,825.89
  5. Step 5: Solve for x
    x = 6,974,825.89/3,271
  6. Step 6: Final answer
    x = 2,132.32

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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.