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Finding the Fourth Proportional to 19,614, 29,427.48 and 7,920.84

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Solution

The fourth proportional to 19,614, 29,427.48 and 7,920.84 is: 11,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614 : 29,427.48 = 7,920.84 : x
  2. Step 2: Convert to fraction form
    19,614/29,427.48 = 7,920.84/x
  3. Step 3: Cross multiply
    19,614x = 29,427.48 × 7,920.84
  4. Step 4: Simplify right side
    19,614x = 233,090,360.68
  5. Step 5: Solve for x
    x = 233,090,360.68/19,614
  6. Step 6: Final answer
    x = 11,883.88

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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.