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Finding the Fourth Proportional to 3,128.76, 4,692.74 and 820.28

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Solution

The fourth proportional to 3,128.76, 4,692.74 and 820.28 is: 1,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.76 : 4,692.74 = 820.28 : x
  2. Step 2: Convert to fraction form
    3,128.76/4,692.74 = 820.28/x
  3. Step 3: Cross multiply
    3,128.76x = 4,692.74 × 820.28
  4. Step 4: Simplify right side
    3,128.76x = 3,849,360.77
  5. Step 5: Solve for x
    x = 3,849,360.77/3,128.76
  6. Step 6: Final answer
    x = 1,230.32

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1.5x scale

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.