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Finding the Fourth Proportional to 2,005.78, 3,008.84 and 525.21

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Solution

The fourth proportional to 2,005.78, 3,008.84 and 525.21 is: 787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.78 : 3,008.84 = 525.21 : x
  2. Step 2: Convert to fraction form
    2,005.78/3,008.84 = 525.21/x
  3. Step 3: Cross multiply
    2,005.78x = 3,008.84 × 525.21
  4. Step 4: Simplify right side
    2,005.78x = 1,580,272.86
  5. Step 5: Solve for x
    x = 1,580,272.86/2,005.78
  6. Step 6: Final answer
    x = 787.86

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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.