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Finding the Fourth Proportional to 7,832.78, 10,813.40 and 5,328.26

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Solution

The fourth proportional to 7,832.78, 10,813.40 and 5,328.26 is: 7,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.78 : 10,813.40 = 5,328.26 : x
  2. Step 2: Convert to fraction form
    7,832.78/10,813.40 = 5,328.26/x
  3. Step 3: Cross multiply
    7,832.78x = 10,813.40 × 5,328.26
  4. Step 4: Simplify right side
    7,832.78x = 57,616,606.68
  5. Step 5: Solve for x
    x = 57,616,606.68/7,832.78
  6. Step 6: Final answer
    x = 7,355.83

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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.