Home / 8,383.36-12,589.64-7,724

Finding the Fourth Proportional to 8,383.36, 12,589.64 and 7,724

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Solution

The fourth proportional to 8,383.36, 12,589.64 and 7,724 is: 11,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.36 : 12,589.64 = 7,724 : x
  2. Step 2: Convert to fraction form
    8,383.36/12,589.64 = 7,724/x
  3. Step 3: Cross multiply
    8,383.36x = 12,589.64 × 7,724
  4. Step 4: Simplify right side
    8,383.36x = 97,242,379.36
  5. Step 5: Solve for x
    x = 97,242,379.36/8,383.36
  6. Step 6: Final answer
    x = 11,599.45

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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.