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Finding the Fourth Proportional to 2,647, 3,970.50 and 1,492.84

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Solution

The fourth proportional to 2,647, 3,970.50 and 1,492.84 is: 2,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647 : 3,970.50 = 1,492.84 : x
  2. Step 2: Convert to fraction form
    2,647/3,970.50 = 1,492.84/x
  3. Step 3: Cross multiply
    2,647x = 3,970.50 × 1,492.84
  4. Step 4: Simplify right side
    2,647x = 5,927,321.22
  5. Step 5: Solve for x
    x = 5,927,321.22/2,647
  6. Step 6: Final answer
    x = 2,239.26

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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.