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Finding the Fourth Proportional to 21,852, 30,155.76 and 12,421.17

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Solution

The fourth proportional to 21,852, 30,155.76 and 12,421.17 is: 17,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852 : 30,155.76 = 12,421.17 : x
  2. Step 2: Convert to fraction form
    21,852/30,155.76 = 12,421.17/x
  3. Step 3: Cross multiply
    21,852x = 30,155.76 × 12,421.17
  4. Step 4: Simplify right side
    21,852x = 374,569,821.44
  5. Step 5: Solve for x
    x = 374,569,821.44/21,852
  6. Step 6: Final answer
    x = 17,141.21

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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.