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Finding the Fourth Proportional to 7,829.78, 10,809.26 and 5,325.26

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Solution

The fourth proportional to 7,829.78, 10,809.26 and 5,325.26 is: 7,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.78 : 10,809.26 = 5,325.26 : x
  2. Step 2: Convert to fraction form
    7,829.78/10,809.26 = 5,325.26/x
  3. Step 3: Cross multiply
    7,829.78x = 10,809.26 × 5,325.26
  4. Step 4: Simplify right side
    7,829.78x = 57,562,039.24
  5. Step 5: Solve for x
    x = 57,562,039.24/7,829.78
  6. Step 6: Final answer
    x = 7,351.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.