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Finding the Fourth Proportional to 3,492.66, 5,237.94 and 1,271.21

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Solution

The fourth proportional to 3,492.66, 5,237.94 and 1,271.21 is: 1,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.66 : 5,237.94 = 1,271.21 : x
  2. Step 2: Convert to fraction form
    3,492.66/5,237.94 = 1,271.21/x
  3. Step 3: Cross multiply
    3,492.66x = 5,237.94 × 1,271.21
  4. Step 4: Simplify right side
    3,492.66x = 6,658,495.52
  5. Step 5: Solve for x
    x = 6,658,495.52/3,492.66
  6. Step 6: Final answer
    x = 1,906.43

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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.