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Finding the Fourth Proportional to 34,912, 48,178.56 and 20,008

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Solution

The fourth proportional to 34,912, 48,178.56 and 20,008 is: 27,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,912 : 48,178.56 = 20,008 : x
  2. Step 2: Convert to fraction form
    34,912/48,178.56 = 20,008/x
  3. Step 3: Cross multiply
    34,912x = 48,178.56 × 20,008
  4. Step 4: Simplify right side
    34,912x = 963,956,628.48
  5. Step 5: Solve for x
    x = 963,956,628.48/34,912
  6. Step 6: Final answer
    x = 27,611.04

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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.