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Finding the Fourth Proportional to 34,330, 51,495.32 and 13,553.50

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Solution

The fourth proportional to 34,330, 51,495.32 and 13,553.50 is: 20,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,330 : 51,495.32 = 13,553.50 : x
  2. Step 2: Convert to fraction form
    34,330/51,495.32 = 13,553.50/x
  3. Step 3: Cross multiply
    34,330x = 51,495.32 × 13,553.50
  4. Step 4: Simplify right side
    34,330x = 697,941,819.62
  5. Step 5: Solve for x
    x = 697,941,819.62/34,330
  6. Step 6: Final answer
    x = 20,330.38

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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.