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Finding the Fourth Proportional to 19,584.58, 29,406.03 and 7,920.58

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Solution

The fourth proportional to 19,584.58, 29,406.03 and 7,920.58 is: 11,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,584.58 : 29,406.03 = 7,920.58 : x
  2. Step 2: Convert to fraction form
    19,584.58/29,406.03 = 7,920.58/x
  3. Step 3: Cross multiply
    19,584.58x = 29,406.03 × 7,920.58
  4. Step 4: Simplify right side
    19,584.58x = 232,912,813.10
  5. Step 5: Solve for x
    x = 232,912,813.10/19,584.58
  6. Step 6: Final answer
    x = 11,892.66

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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.