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Finding the Fourth Proportional to 3,128.33, 4,692.45 and 788.33

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Solution

The fourth proportional to 3,128.33, 4,692.45 and 788.33 is: 1,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.33 : 4,692.45 = 788.33 : x
  2. Step 2: Convert to fraction form
    3,128.33/4,692.45 = 788.33/x
  3. Step 3: Cross multiply
    3,128.33x = 4,692.45 × 788.33
  4. Step 4: Simplify right side
    3,128.33x = 3,699,199.11
  5. Step 5: Solve for x
    x = 3,699,199.11/3,128.33
  6. Step 6: Final answer
    x = 1,182.48

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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.