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Finding the Fourth Proportional to 7,084.80, 9,763.20 and 6,998.40

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Solution

The fourth proportional to 7,084.80, 9,763.20 and 6,998.40 is: 9,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.80 : 9,763.20 = 6,998.40 : x
  2. Step 2: Convert to fraction form
    7,084.80/9,763.20 = 6,998.40/x
  3. Step 3: Cross multiply
    7,084.80x = 9,763.20 × 6,998.40
  4. Step 4: Simplify right side
    7,084.80x = 68,326,778.88
  5. Step 5: Solve for x
    x = 68,326,778.88/7,084.80
  6. Step 6: Final answer
    x = 9,644.14

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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.