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Finding the Fourth Proportional to 7,911.30, 11,856 and 6,735.18

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Solution

The fourth proportional to 7,911.30, 11,856 and 6,735.18 is: 10,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.30 : 11,856 = 6,735.18 : x
  2. Step 2: Convert to fraction form
    7,911.30/11,856 = 6,735.18/x
  3. Step 3: Cross multiply
    7,911.30x = 11,856 × 6,735.18
  4. Step 4: Simplify right side
    7,911.30x = 79,852,294.08
  5. Step 5: Solve for x
    x = 79,852,294.08/7,911.30
  6. Step 6: Final answer
    x = 10,093.45

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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.