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Finding the Fourth Proportional to 3,128.64, 4,692.79 and 788.64

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Solution

The fourth proportional to 3,128.64, 4,692.79 and 788.64 is: 1,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.64 : 4,692.79 = 788.64 : x
  2. Step 2: Convert to fraction form
    3,128.64/4,692.79 = 788.64/x
  3. Step 3: Cross multiply
    3,128.64x = 4,692.79 × 788.64
  4. Step 4: Simplify right side
    3,128.64x = 3,700,921.91
  5. Step 5: Solve for x
    x = 3,700,921.91/3,128.64
  6. Step 6: Final answer
    x = 1,182.92

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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.