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Finding the Fourth Proportional to 1,662.83, 2,492.50 and 1,271.98

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Solution

The fourth proportional to 1,662.83, 2,492.50 and 1,271.98 is: 1,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.83 : 2,492.50 = 1,271.98 : x
  2. Step 2: Convert to fraction form
    1,662.83/2,492.50 = 1,271.98/x
  3. Step 3: Cross multiply
    1,662.83x = 2,492.50 × 1,271.98
  4. Step 4: Simplify right side
    1,662.83x = 3,170,410.15
  5. Step 5: Solve for x
    x = 3,170,410.15/1,662.83
  6. Step 6: Final answer
    x = 1,906.64

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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.