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Finding the Fourth Proportional to 2,726.48, 4,090.43 and 778.84

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Solution

The fourth proportional to 2,726.48, 4,090.43 and 778.84 is: 1,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.48 : 4,090.43 = 778.84 : x
  2. Step 2: Convert to fraction form
    2,726.48/4,090.43 = 778.84/x
  3. Step 3: Cross multiply
    2,726.48x = 4,090.43 × 778.84
  4. Step 4: Simplify right side
    2,726.48x = 3,185,779.30
  5. Step 5: Solve for x
    x = 3,185,779.30/2,726.48
  6. Step 6: Final answer
    x = 1,168.46

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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.