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Finding the Fourth Proportional to 18,654, 27,981.08 and 4,802.96

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Solution

The fourth proportional to 18,654, 27,981.08 and 4,802.96 is: 7,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,654 : 27,981.08 = 4,802.96 : x
  2. Step 2: Convert to fraction form
    18,654/27,981.08 = 4,802.96/x
  3. Step 3: Cross multiply
    18,654x = 27,981.08 × 4,802.96
  4. Step 4: Simplify right side
    18,654x = 134,392,008.00
  5. Step 5: Solve for x
    x = 134,392,008.00/18,654
  6. Step 6: Final answer
    x = 7,204.46

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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.