Home / 5,232.78-7,844.67-2,109.42

Finding the Fourth Proportional to 5,232.78, 7,844.67 and 2,109.42

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Solution

The fourth proportional to 5,232.78, 7,844.67 and 2,109.42 is: 3,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.78 : 7,844.67 = 2,109.42 : x
  2. Step 2: Convert to fraction form
    5,232.78/7,844.67 = 2,109.42/x
  3. Step 3: Cross multiply
    5,232.78x = 7,844.67 × 2,109.42
  4. Step 4: Simplify right side
    5,232.78x = 16,547,703.79
  5. Step 5: Solve for x
    x = 16,547,703.79/5,232.78
  6. Step 6: Final answer
    x = 3,162.32

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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.