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Finding the Fourth Proportional to 3,427.22, 5,140.74 and 962.22

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Solution

The fourth proportional to 3,427.22, 5,140.74 and 962.22 is: 1,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.22 : 5,140.74 = 962.22 : x
  2. Step 2: Convert to fraction form
    3,427.22/5,140.74 = 962.22/x
  3. Step 3: Cross multiply
    3,427.22x = 5,140.74 × 962.22
  4. Step 4: Simplify right side
    3,427.22x = 4,946,522.84
  5. Step 5: Solve for x
    x = 4,946,522.84/3,427.22
  6. Step 6: Final answer
    x = 1,443.30

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1.5x scale

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.