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Finding the Fourth Proportional to 7,838.58, 11,757.02 and 2,216.10

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Solution

The fourth proportional to 7,838.58, 11,757.02 and 2,216.10 is: 3,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.58 : 11,757.02 = 2,216.10 : x
  2. Step 2: Convert to fraction form
    7,838.58/11,757.02 = 2,216.10/x
  3. Step 3: Cross multiply
    7,838.58x = 11,757.02 × 2,216.10
  4. Step 4: Simplify right side
    7,838.58x = 26,054,720.94
  5. Step 5: Solve for x
    x = 26,054,720.94/7,838.58
  6. Step 6: Final answer
    x = 3,323.91

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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.