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Finding the Fourth Proportional to 27,988.90, 41,982.45 and 9,269.80

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Solution

The fourth proportional to 27,988.90, 41,982.45 and 9,269.80 is: 13,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988.90 : 41,982.45 = 9,269.80 : x
  2. Step 2: Convert to fraction form
    27,988.90/41,982.45 = 9,269.80/x
  3. Step 3: Cross multiply
    27,988.90x = 41,982.45 × 9,269.80
  4. Step 4: Simplify right side
    27,988.90x = 389,168,915.01
  5. Step 5: Solve for x
    x = 389,168,915.01/27,988.90
  6. Step 6: Final answer
    x = 13,904.40

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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.