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Finding the Fourth Proportional to 8,155.78, 12,288.49 and 7,376.65

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Solution

The fourth proportional to 8,155.78, 12,288.49 and 7,376.65 is: 11,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.78 : 12,288.49 = 7,376.65 : x
  2. Step 2: Convert to fraction form
    8,155.78/12,288.49 = 7,376.65/x
  3. Step 3: Cross multiply
    8,155.78x = 12,288.49 × 7,376.65
  4. Step 4: Simplify right side
    8,155.78x = 90,647,828.32
  5. Step 5: Solve for x
    x = 90,647,828.32/8,155.78
  6. Step 6: Final answer
    x = 11,114.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.