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Finding the Fourth Proportional to 7,754.80, 11,624.76 and 3,855.40

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Solution

The fourth proportional to 7,754.80, 11,624.76 and 3,855.40 is: 5,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.80 : 11,624.76 = 3,855.40 : x
  2. Step 2: Convert to fraction form
    7,754.80/11,624.76 = 3,855.40/x
  3. Step 3: Cross multiply
    7,754.80x = 11,624.76 × 3,855.40
  4. Step 4: Simplify right side
    7,754.80x = 44,818,099.70
  5. Step 5: Solve for x
    x = 44,818,099.70/7,754.80
  6. Step 6: Final answer
    x = 5,779.40

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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.