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Finding the Fourth Proportional to 21,846, 30,147.48 and 12,415.17

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Solution

The fourth proportional to 21,846, 30,147.48 and 12,415.17 is: 17,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846 : 30,147.48 = 12,415.17 : x
  2. Step 2: Convert to fraction form
    21,846/30,147.48 = 12,415.17/x
  3. Step 3: Cross multiply
    21,846x = 30,147.48 × 12,415.17
  4. Step 4: Simplify right side
    21,846x = 374,286,089.27
  5. Step 5: Solve for x
    x = 374,286,089.27/21,846
  6. Step 6: Final answer
    x = 17,132.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.