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Finding the Fourth Proportional to 2,842.69, 4,266.80 and 1,749.19

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Solution

The fourth proportional to 2,842.69, 4,266.80 and 1,749.19 is: 2,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.69 : 4,266.80 = 1,749.19 : x
  2. Step 2: Convert to fraction form
    2,842.69/4,266.80 = 1,749.19/x
  3. Step 3: Cross multiply
    2,842.69x = 4,266.80 × 1,749.19
  4. Step 4: Simplify right side
    2,842.69x = 7,463,443.89
  5. Step 5: Solve for x
    x = 7,463,443.89/2,842.69
  6. Step 6: Final answer
    x = 2,625.49

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1.5x scale

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.