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Finding the Fourth Proportional to 7,869, 10,860.72 and 4,683

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Solution

The fourth proportional to 7,869, 10,860.72 and 4,683 is: 6,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869 : 10,860.72 = 4,683 : x
  2. Step 2: Convert to fraction form
    7,869/10,860.72 = 4,683/x
  3. Step 3: Cross multiply
    7,869x = 10,860.72 × 4,683
  4. Step 4: Simplify right side
    7,869x = 50,860,751.76
  5. Step 5: Solve for x
    x = 50,860,751.76/7,869
  6. Step 6: Final answer
    x = 6,463.43

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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.