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Finding the Fourth Proportional to 2,324.96, 3,208.50 and 1,277

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Solution

The fourth proportional to 2,324.96, 3,208.50 and 1,277 is: 1,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.96 : 3,208.50 = 1,277 : x
  2. Step 2: Convert to fraction form
    2,324.96/3,208.50 = 1,277/x
  3. Step 3: Cross multiply
    2,324.96x = 3,208.50 × 1,277
  4. Step 4: Simplify right side
    2,324.96x = 4,097,254.50
  5. Step 5: Solve for x
    x = 4,097,254.50/2,324.96
  6. Step 6: Final answer
    x = 1,762.29

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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.