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Finding the Fourth Proportional to 11,784.57, 17,681.65 and 7,572.54

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Solution

The fourth proportional to 11,784.57, 17,681.65 and 7,572.54 is: 11,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.57 : 17,681.65 = 7,572.54 : x
  2. Step 2: Convert to fraction form
    11,784.57/17,681.65 = 7,572.54/x
  3. Step 3: Cross multiply
    11,784.57x = 17,681.65 × 7,572.54
  4. Step 4: Simplify right side
    11,784.57x = 133,895,067.02
  5. Step 5: Solve for x
    x = 133,895,067.02/11,784.57
  6. Step 6: Final answer
    x = 11,361.90

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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.