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Finding the Fourth Proportional to 6,346.80, 9,520.20 and 1,965.60

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Solution

The fourth proportional to 6,346.80, 9,520.20 and 1,965.60 is: 2,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.80 : 9,520.20 = 1,965.60 : x
  2. Step 2: Convert to fraction form
    6,346.80/9,520.20 = 1,965.60/x
  3. Step 3: Cross multiply
    6,346.80x = 9,520.20 × 1,965.60
  4. Step 4: Simplify right side
    6,346.80x = 18,712,905.12
  5. Step 5: Solve for x
    x = 18,712,905.12/6,346.80
  6. Step 6: Final answer
    x = 2,948.40

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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.