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Finding the Fourth Proportional to 18,553.60, 27,830.40 and 5,407

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Solution

The fourth proportional to 18,553.60, 27,830.40 and 5,407 is: 8,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.60 : 27,830.40 = 5,407 : x
  2. Step 2: Convert to fraction form
    18,553.60/27,830.40 = 5,407/x
  3. Step 3: Cross multiply
    18,553.60x = 27,830.40 × 5,407
  4. Step 4: Simplify right side
    18,553.60x = 150,478,972.80
  5. Step 5: Solve for x
    x = 150,478,972.80/18,553.60
  6. Step 6: Final answer
    x = 8,110.50

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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.