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Finding the Fourth Proportional to 9,684, 14,526.81 and 3,840.66

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Solution

The fourth proportional to 9,684, 14,526.81 and 3,840.66 is: 5,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 14,526.81 = 3,840.66 : x
  2. Step 2: Convert to fraction form
    9,684/14,526.81 = 3,840.66/x
  3. Step 3: Cross multiply
    9,684x = 14,526.81 × 3,840.66
  4. Step 4: Simplify right side
    9,684x = 55,792,538.09
  5. Step 5: Solve for x
    x = 55,792,538.09/9,684
  6. Step 6: Final answer
    x = 5,761.31

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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.