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Finding the Fourth Proportional to 7,855.02, 11,775.24 and 2,657.34

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Solution

The fourth proportional to 7,855.02, 11,775.24 and 2,657.34 is: 3,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.02 : 11,775.24 = 2,657.34 : x
  2. Step 2: Convert to fraction form
    7,855.02/11,775.24 = 2,657.34/x
  3. Step 3: Cross multiply
    7,855.02x = 11,775.24 × 2,657.34
  4. Step 4: Simplify right side
    7,855.02x = 31,290,816.26
  5. Step 5: Solve for x
    x = 31,290,816.26/7,855.02
  6. Step 6: Final answer
    x = 3,983.54

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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.