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Finding the Fourth Proportional to 18,666.64, 27,982.68 and 6,346

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Solution

The fourth proportional to 18,666.64, 27,982.68 and 6,346 is: 9,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,666.64 : 27,982.68 = 6,346 : x
  2. Step 2: Convert to fraction form
    18,666.64/27,982.68 = 6,346/x
  3. Step 3: Cross multiply
    18,666.64x = 27,982.68 × 6,346
  4. Step 4: Simplify right side
    18,666.64x = 177,578,087.28
  5. Step 5: Solve for x
    x = 177,578,087.28/18,666.64
  6. Step 6: Final answer
    x = 9,513.13

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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.