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Finding the Fourth Proportional to 7,780.80, 11,671.20 and 2,586.67

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Solution

The fourth proportional to 7,780.80, 11,671.20 and 2,586.67 is: 3,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.80 : 11,671.20 = 2,586.67 : x
  2. Step 2: Convert to fraction form
    7,780.80/11,671.20 = 2,586.67/x
  3. Step 3: Cross multiply
    7,780.80x = 11,671.20 × 2,586.67
  4. Step 4: Simplify right side
    7,780.80x = 30,189,529.97
  5. Step 5: Solve for x
    x = 30,189,529.97/7,780.80
  6. Step 6: Final answer
    x = 3,880.01

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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.