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Finding the Fourth Proportional to 7,661.54, 11,486.90 and 2,977.65

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Solution

The fourth proportional to 7,661.54, 11,486.90 and 2,977.65 is: 4,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.54 : 11,486.90 = 2,977.65 : x
  2. Step 2: Convert to fraction form
    7,661.54/11,486.90 = 2,977.65/x
  3. Step 3: Cross multiply
    7,661.54x = 11,486.90 × 2,977.65
  4. Step 4: Simplify right side
    7,661.54x = 34,203,967.79
  5. Step 5: Solve for x
    x = 34,203,967.79/7,661.54
  6. Step 6: Final answer
    x = 4,464.37

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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.