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Finding the Fourth Proportional to 7,128.52, 10,692.80 and 4,202.80

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Solution

The fourth proportional to 7,128.52, 10,692.80 and 4,202.80 is: 6,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.52 : 10,692.80 = 4,202.80 : x
  2. Step 2: Convert to fraction form
    7,128.52/10,692.80 = 4,202.80/x
  3. Step 3: Cross multiply
    7,128.52x = 10,692.80 × 4,202.80
  4. Step 4: Simplify right side
    7,128.52x = 44,939,699.84
  5. Step 5: Solve for x
    x = 44,939,699.84/7,128.52
  6. Step 6: Final answer
    x = 6,304.21

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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.