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Finding the Fourth Proportional to 11,102.67, 15,295.33 and 7,739.40

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Solution

The fourth proportional to 11,102.67, 15,295.33 and 7,739.40 is: 10,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.67 : 15,295.33 = 7,739.40 : x
  2. Step 2: Convert to fraction form
    11,102.67/15,295.33 = 7,739.40/x
  3. Step 3: Cross multiply
    11,102.67x = 15,295.33 × 7,739.40
  4. Step 4: Simplify right side
    11,102.67x = 118,376,658.00
  5. Step 5: Solve for x
    x = 118,376,658.00/11,102.67
  6. Step 6: Final answer
    x = 10,662.00

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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.