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Finding the Fourth Proportional to 21,829, 30,124.02 and 11,893

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Solution

The fourth proportional to 21,829, 30,124.02 and 11,893 is: 16,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829 : 30,124.02 = 11,893 : x
  2. Step 2: Convert to fraction form
    21,829/30,124.02 = 11,893/x
  3. Step 3: Cross multiply
    21,829x = 30,124.02 × 11,893
  4. Step 4: Simplify right side
    21,829x = 358,264,969.86
  5. Step 5: Solve for x
    x = 358,264,969.86/21,829
  6. Step 6: Final answer
    x = 16,412.34

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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.