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Finding the Fourth Proportional to 21,885.80, 32,828.70 and 13,137.80

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Solution

The fourth proportional to 21,885.80, 32,828.70 and 13,137.80 is: 19,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885.80 : 32,828.70 = 13,137.80 : x
  2. Step 2: Convert to fraction form
    21,885.80/32,828.70 = 13,137.80/x
  3. Step 3: Cross multiply
    21,885.80x = 32,828.70 × 13,137.80
  4. Step 4: Simplify right side
    21,885.80x = 431,296,894.86
  5. Step 5: Solve for x
    x = 431,296,894.86/21,885.80
  6. Step 6: Final answer
    x = 19,706.70

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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.