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Finding the Fourth Proportional to 1,852.12, 2,777.77 and 535.59

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Solution

The fourth proportional to 1,852.12, 2,777.77 and 535.59 is: 803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.12 : 2,777.77 = 535.59 : x
  2. Step 2: Convert to fraction form
    1,852.12/2,777.77 = 535.59/x
  3. Step 3: Cross multiply
    1,852.12x = 2,777.77 × 535.59
  4. Step 4: Simplify right side
    1,852.12x = 1,487,745.83
  5. Step 5: Solve for x
    x = 1,487,745.83/1,852.12
  6. Step 6: Final answer
    x = 803.27

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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.