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Finding the Fourth Proportional to 9,500.80, 13,083.20 and 6,513.60

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Solution

The fourth proportional to 9,500.80, 13,083.20 and 6,513.60 is: 8,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.80 : 13,083.20 = 6,513.60 : x
  2. Step 2: Convert to fraction form
    9,500.80/13,083.20 = 6,513.60/x
  3. Step 3: Cross multiply
    9,500.80x = 13,083.20 × 6,513.60
  4. Step 4: Simplify right side
    9,500.80x = 85,218,731.52
  5. Step 5: Solve for x
    x = 85,218,731.52/9,500.80
  6. Step 6: Final answer
    x = 8,969.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.