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Finding the Fourth Proportional to 7,904.80, 11,857.20 and 6,880.80

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Solution

The fourth proportional to 7,904.80, 11,857.20 and 6,880.80 is: 10,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.80 : 11,857.20 = 6,880.80 : x
  2. Step 2: Convert to fraction form
    7,904.80/11,857.20 = 6,880.80/x
  3. Step 3: Cross multiply
    7,904.80x = 11,857.20 × 6,880.80
  4. Step 4: Simplify right side
    7,904.80x = 81,587,021.76
  5. Step 5: Solve for x
    x = 81,587,021.76/7,904.80
  6. Step 6: Final answer
    x = 10,321.20

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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.