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Finding the Fourth Proportional to 7,783.80, 11,646.47 and 7,361.79

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Solution

The fourth proportional to 7,783.80, 11,646.47 and 7,361.79 is: 11,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.80 : 11,646.47 = 7,361.79 : x
  2. Step 2: Convert to fraction form
    7,783.80/11,646.47 = 7,361.79/x
  3. Step 3: Cross multiply
    7,783.80x = 11,646.47 × 7,361.79
  4. Step 4: Simplify right side
    7,783.80x = 85,738,866.38
  5. Step 5: Solve for x
    x = 85,738,866.38/7,783.80
  6. Step 6: Final answer
    x = 11,015.04

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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.