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Finding the Fourth Proportional to 11,765.40, 17,652.72 and 5,187

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Solution

The fourth proportional to 11,765.40, 17,652.72 and 5,187 is: 7,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.40 : 17,652.72 = 5,187 : x
  2. Step 2: Convert to fraction form
    11,765.40/17,652.72 = 5,187/x
  3. Step 3: Cross multiply
    11,765.40x = 17,652.72 × 5,187
  4. Step 4: Simplify right side
    11,765.40x = 91,564,658.64
  5. Step 5: Solve for x
    x = 91,564,658.64/11,765.40
  6. Step 6: Final answer
    x = 7,782.54

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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.