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Finding the Fourth Proportional to 9,684, 13,361.86 and 5,703.66

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Solution

The fourth proportional to 9,684, 13,361.86 and 5,703.66 is: 7,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 13,361.86 = 5,703.66 : x
  2. Step 2: Convert to fraction form
    9,684/13,361.86 = 5,703.66/x
  3. Step 3: Cross multiply
    9,684x = 13,361.86 × 5,703.66
  4. Step 4: Simplify right side
    9,684x = 76,211,513.54
  5. Step 5: Solve for x
    x = 76,211,513.54/9,684
  6. Step 6: Final answer
    x = 7,869.84

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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.