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Finding the Fourth Proportional to 18,547.11, 27,829.80 and 8,684.69

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Solution

The fourth proportional to 18,547.11, 27,829.80 and 8,684.69 is: 13,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.11 : 27,829.80 = 8,684.69 : x
  2. Step 2: Convert to fraction form
    18,547.11/27,829.80 = 8,684.69/x
  3. Step 3: Cross multiply
    18,547.11x = 27,829.80 × 8,684.69
  4. Step 4: Simplify right side
    18,547.11x = 241,693,046.61
  5. Step 5: Solve for x
    x = 241,693,046.61/18,547.11
  6. Step 6: Final answer
    x = 13,031.30

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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.