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Finding the Fourth Proportional to 7,855.86, 11,783.90 and 2,012.32

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Solution

The fourth proportional to 7,855.86, 11,783.90 and 2,012.32 is: 3,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.86 : 11,783.90 = 2,012.32 : x
  2. Step 2: Convert to fraction form
    7,855.86/11,783.90 = 2,012.32/x
  3. Step 3: Cross multiply
    7,855.86x = 11,783.90 × 2,012.32
  4. Step 4: Simplify right side
    7,855.86x = 23,712,977.65
  5. Step 5: Solve for x
    x = 23,712,977.65/7,855.86
  6. Step 6: Final answer
    x = 3,018.51

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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.