Home / 7,844.78-11,767.02-3,164.69

Finding the Fourth Proportional to 7,844.78, 11,767.02 and 3,164.69

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Solution

The fourth proportional to 7,844.78, 11,767.02 and 3,164.69 is: 4,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.78 : 11,767.02 = 3,164.69 : x
  2. Step 2: Convert to fraction form
    7,844.78/11,767.02 = 3,164.69/x
  3. Step 3: Cross multiply
    7,844.78x = 11,767.02 × 3,164.69
  4. Step 4: Simplify right side
    7,844.78x = 37,238,970.52
  5. Step 5: Solve for x
    x = 37,238,970.52/7,844.78
  6. Step 6: Final answer
    x = 4,746.97

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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.