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Finding the Fourth Proportional to 6,468.80, 9,692.40 and 4,276.40

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Solution

The fourth proportional to 6,468.80, 9,692.40 and 4,276.40 is: 6,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.80 : 9,692.40 = 4,276.40 : x
  2. Step 2: Convert to fraction form
    6,468.80/9,692.40 = 4,276.40/x
  3. Step 3: Cross multiply
    6,468.80x = 9,692.40 × 4,276.40
  4. Step 4: Simplify right side
    6,468.80x = 41,448,579.36
  5. Step 5: Solve for x
    x = 41,448,579.36/6,468.80
  6. Step 6: Final answer
    x = 6,407.46

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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.