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Finding the Fourth Proportional to 29,270, 43,905 and 8,493.68

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Solution

The fourth proportional to 29,270, 43,905 and 8,493.68 is: 12,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,270 : 43,905 = 8,493.68 : x
  2. Step 2: Convert to fraction form
    29,270/43,905 = 8,493.68/x
  3. Step 3: Cross multiply
    29,270x = 43,905 × 8,493.68
  4. Step 4: Simplify right side
    29,270x = 372,915,020.40
  5. Step 5: Solve for x
    x = 372,915,020.40/29,270
  6. Step 6: Final answer
    x = 12,740.52

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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.