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Finding the Fourth Proportional to 27,989.70, 41,984.55 and 9,264.70

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Solution

The fourth proportional to 27,989.70, 41,984.55 and 9,264.70 is: 13,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989.70 : 41,984.55 = 9,264.70 : x
  2. Step 2: Convert to fraction form
    27,989.70/41,984.55 = 9,264.70/x
  3. Step 3: Cross multiply
    27,989.70x = 41,984.55 × 9,264.70
  4. Step 4: Simplify right side
    27,989.70x = 388,974,260.39
  5. Step 5: Solve for x
    x = 388,974,260.39/27,989.70
  6. Step 6: Final answer
    x = 13,897.05

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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.