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Finding the Fourth Proportional to 19,999.98, 29,981.34 and 12,582

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Solution

The fourth proportional to 19,999.98, 29,981.34 and 12,582 is: 18,861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,999.98 : 29,981.34 = 12,582 : x
  2. Step 2: Convert to fraction form
    19,999.98/29,981.34 = 12,582/x
  3. Step 3: Cross multiply
    19,999.98x = 29,981.34 × 12,582
  4. Step 4: Simplify right side
    19,999.98x = 377,225,219.88
  5. Step 5: Solve for x
    x = 377,225,219.88/19,999.98
  6. Step 6: Final answer
    x = 18,861.28

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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.