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Finding the Fourth Proportional to 2,542.69, 3,810.09 and 1,764.21

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Solution

The fourth proportional to 2,542.69, 3,810.09 and 1,764.21 is: 2,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.69 : 3,810.09 = 1,764.21 : x
  2. Step 2: Convert to fraction form
    2,542.69/3,810.09 = 1,764.21/x
  3. Step 3: Cross multiply
    2,542.69x = 3,810.09 × 1,764.21
  4. Step 4: Simplify right side
    2,542.69x = 6,721,798.88
  5. Step 5: Solve for x
    x = 6,721,798.88/2,542.69
  6. Step 6: Final answer
    x = 2,643.58

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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.