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Finding the Fourth Proportional to 7,878.44, 11,816.48 and 2,617.11

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Solution

The fourth proportional to 7,878.44, 11,816.48 and 2,617.11 is: 3,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.44 : 11,816.48 = 2,617.11 : x
  2. Step 2: Convert to fraction form
    7,878.44/11,816.48 = 2,617.11/x
  3. Step 3: Cross multiply
    7,878.44x = 11,816.48 × 2,617.11
  4. Step 4: Simplify right side
    7,878.44x = 30,925,034.52
  5. Step 5: Solve for x
    x = 30,925,034.52/7,878.44
  6. Step 6: Final answer
    x = 3,925.27

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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.