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Finding the Fourth Proportional to 18,008, 27,011.88 and 4,861.70

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Solution

The fourth proportional to 18,008, 27,011.88 and 4,861.70 is: 7,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,008 : 27,011.88 = 4,861.70 : x
  2. Step 2: Convert to fraction form
    18,008/27,011.88 = 4,861.70/x
  3. Step 3: Cross multiply
    18,008x = 27,011.88 × 4,861.70
  4. Step 4: Simplify right side
    18,008x = 131,323,657.00
  5. Step 5: Solve for x
    x = 131,323,657.00/18,008
  6. Step 6: Final answer
    x = 7,292.52

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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.