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Finding the Fourth Proportional to 2,699.79, 4,049.07 and 1,762.44

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Solution

The fourth proportional to 2,699.79, 4,049.07 and 1,762.44 is: 2,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.79 : 4,049.07 = 1,762.44 : x
  2. Step 2: Convert to fraction form
    2,699.79/4,049.07 = 1,762.44/x
  3. Step 3: Cross multiply
    2,699.79x = 4,049.07 × 1,762.44
  4. Step 4: Simplify right side
    2,699.79x = 7,136,222.69
  5. Step 5: Solve for x
    x = 7,136,222.69/2,699.79
  6. Step 6: Final answer
    x = 2,643.26

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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.