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Finding the Fourth Proportional to 2,072.58, 3,108.84 and 533.58

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Solution

The fourth proportional to 2,072.58, 3,108.84 and 533.58 is: 800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.58 : 3,108.84 = 533.58 : x
  2. Step 2: Convert to fraction form
    2,072.58/3,108.84 = 533.58/x
  3. Step 3: Cross multiply
    2,072.58x = 3,108.84 × 533.58
  4. Step 4: Simplify right side
    2,072.58x = 1,658,814.85
  5. Step 5: Solve for x
    x = 1,658,814.85/2,072.58
  6. Step 6: Final answer
    x = 800.36

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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.