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Finding the Fourth Proportional to 7,865, 11,795.16 and 3,702.68

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Solution

The fourth proportional to 7,865, 11,795.16 and 3,702.68 is: 5,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865 : 11,795.16 = 3,702.68 : x
  2. Step 2: Convert to fraction form
    7,865/11,795.16 = 3,702.68/x
  3. Step 3: Cross multiply
    7,865x = 11,795.16 × 3,702.68
  4. Step 4: Simplify right side
    7,865x = 43,673,703.03
  5. Step 5: Solve for x
    x = 43,673,703.03/7,865
  6. Step 6: Final answer
    x = 5,552.92

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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.