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Finding the Fourth Proportional to 3,220.38, 4,830.56 and 788.38

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Solution

The fourth proportional to 3,220.38, 4,830.56 and 788.38 is: 1,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.38 : 4,830.56 = 788.38 : x
  2. Step 2: Convert to fraction form
    3,220.38/4,830.56 = 788.38/x
  3. Step 3: Cross multiply
    3,220.38x = 4,830.56 × 788.38
  4. Step 4: Simplify right side
    3,220.38x = 3,808,294.71
  5. Step 5: Solve for x
    x = 3,808,294.71/3,220.38
  6. Step 6: Final answer
    x = 1,182.56

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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.