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Finding the Fourth Proportional to 13,983, 20,975.70 and 4,623

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Solution

The fourth proportional to 13,983, 20,975.70 and 4,623 is: 6,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983 : 20,975.70 = 4,623 : x
  2. Step 2: Convert to fraction form
    13,983/20,975.70 = 4,623/x
  3. Step 3: Cross multiply
    13,983x = 20,975.70 × 4,623
  4. Step 4: Simplify right side
    13,983x = 96,970,661.10
  5. Step 5: Solve for x
    x = 96,970,661.10/13,983
  6. Step 6: Final answer
    x = 6,934.90

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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.