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Finding the Fourth Proportional to 11,780.80, 17,660.16 and 3,985.60

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Solution

The fourth proportional to 11,780.80, 17,660.16 and 3,985.60 is: 5,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.80 : 17,660.16 = 3,985.60 : x
  2. Step 2: Convert to fraction form
    11,780.80/17,660.16 = 3,985.60/x
  3. Step 3: Cross multiply
    11,780.80x = 17,660.16 × 3,985.60
  4. Step 4: Simplify right side
    11,780.80x = 70,386,333.70
  5. Step 5: Solve for x
    x = 70,386,333.70/11,780.80
  6. Step 6: Final answer
    x = 5,974.67

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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.