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Finding the Fourth Proportional to 2,371, 3,271.74 and 1,322.88

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Solution

The fourth proportional to 2,371, 3,271.74 and 1,322.88 is: 1,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371 : 3,271.74 = 1,322.88 : x
  2. Step 2: Convert to fraction form
    2,371/3,271.74 = 1,322.88/x
  3. Step 3: Cross multiply
    2,371x = 3,271.74 × 1,322.88
  4. Step 4: Simplify right side
    2,371x = 4,328,119.41
  5. Step 5: Solve for x
    x = 4,328,119.41/2,371
  6. Step 6: Final answer
    x = 1,825.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.