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Finding the Fourth Proportional to 9,786.80, 13,740.40 and 9,786.80

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Solution

The fourth proportional to 9,786.80, 13,740.40 and 9,786.80 is: 13,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.80 : 13,740.40 = 9,786.80 : x
  2. Step 2: Convert to fraction form
    9,786.80/13,740.40 = 9,786.80/x
  3. Step 3: Cross multiply
    9,786.80x = 13,740.40 × 9,786.80
  4. Step 4: Simplify right side
    9,786.80x = 134,474,546.72
  5. Step 5: Solve for x
    x = 134,474,546.72/9,786.80
  6. Step 6: Final answer
    x = 13,740.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.