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Finding the Fourth Proportional to 7,776.74, 11,661.66 and 2,228.82

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Solution

The fourth proportional to 7,776.74, 11,661.66 and 2,228.82 is: 3,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.74 : 11,661.66 = 2,228.82 : x
  2. Step 2: Convert to fraction form
    7,776.74/11,661.66 = 2,228.82/x
  3. Step 3: Cross multiply
    7,776.74x = 11,661.66 × 2,228.82
  4. Step 4: Simplify right side
    7,776.74x = 25,991,741.04
  5. Step 5: Solve for x
    x = 25,991,741.04/7,776.74
  6. Step 6: Final answer
    x = 3,342.24

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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.