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Finding the Fourth Proportional to 4,271, 6,403.38 and 2,880.88

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Solution

The fourth proportional to 4,271, 6,403.38 and 2,880.88 is: 4,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271 : 6,403.38 = 2,880.88 : x
  2. Step 2: Convert to fraction form
    4,271/6,403.38 = 2,880.88/x
  3. Step 3: Cross multiply
    4,271x = 6,403.38 × 2,880.88
  4. Step 4: Simplify right side
    4,271x = 18,447,369.37
  5. Step 5: Solve for x
    x = 18,447,369.37/4,271
  6. Step 6: Final answer
    x = 4,319.22

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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.