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Finding the Fourth Proportional to 21,586, 29,788.68 and 12,156.88

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Solution

The fourth proportional to 21,586, 29,788.68 and 12,156.88 is: 16,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586 : 29,788.68 = 12,156.88 : x
  2. Step 2: Convert to fraction form
    21,586/29,788.68 = 12,156.88/x
  3. Step 3: Cross multiply
    21,586x = 29,788.68 × 12,156.88
  4. Step 4: Simplify right side
    21,586x = 362,137,408.12
  5. Step 5: Solve for x
    x = 362,137,408.12/21,586
  6. Step 6: Final answer
    x = 16,776.49

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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.