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Finding the Fourth Proportional to 2,039.90, 3,059.84 and 578.86

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Solution

The fourth proportional to 2,039.90, 3,059.84 and 578.86 is: 868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.90 : 3,059.84 = 578.86 : x
  2. Step 2: Convert to fraction form
    2,039.90/3,059.84 = 578.86/x
  3. Step 3: Cross multiply
    2,039.90x = 3,059.84 × 578.86
  4. Step 4: Simplify right side
    2,039.90x = 1,771,200.79
  5. Step 5: Solve for x
    x = 1,771,200.79/2,039.90
  6. Step 6: Final answer
    x = 868.28

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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.