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Finding the Fourth Proportional to 7,855.40, 11,775.78 and 2,657.64

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Solution

The fourth proportional to 7,855.40, 11,775.78 and 2,657.64 is: 3,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.40 : 11,775.78 = 2,657.64 : x
  2. Step 2: Convert to fraction form
    7,855.40/11,775.78 = 2,657.64/x
  3. Step 3: Cross multiply
    7,855.40x = 11,775.78 × 2,657.64
  4. Step 4: Simplify right side
    7,855.40x = 31,295,783.96
  5. Step 5: Solve for x
    x = 31,295,783.96/7,855.40
  6. Step 6: Final answer
    x = 3,983.98

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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.