Home / 7,784.42-11,678.34-2,853.94

Finding the Fourth Proportional to 7,784.42, 11,678.34 and 2,853.94

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Solution

The fourth proportional to 7,784.42, 11,678.34 and 2,853.94 is: 4,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.42 : 11,678.34 = 2,853.94 : x
  2. Step 2: Convert to fraction form
    7,784.42/11,678.34 = 2,853.94/x
  3. Step 3: Cross multiply
    7,784.42x = 11,678.34 × 2,853.94
  4. Step 4: Simplify right side
    7,784.42x = 33,329,281.66
  5. Step 5: Solve for x
    x = 33,329,281.66/7,784.42
  6. Step 6: Final answer
    x = 4,281.54

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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.