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Finding the Fourth Proportional to 23,172.85, 31,978.56 and 12,562.39

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Solution

The fourth proportional to 23,172.85, 31,978.56 and 12,562.39 is: 17,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.85 : 31,978.56 = 12,562.39 : x
  2. Step 2: Convert to fraction form
    23,172.85/31,978.56 = 12,562.39/x
  3. Step 3: Cross multiply
    23,172.85x = 31,978.56 × 12,562.39
  4. Step 4: Simplify right side
    23,172.85x = 401,727,142.36
  5. Step 5: Solve for x
    x = 401,727,142.36/23,172.85
  6. Step 6: Final answer
    x = 17,336.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.