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Finding the Fourth Proportional to 23,114.88, 31,896 and 13,178.88

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Solution

The fourth proportional to 23,114.88, 31,896 and 13,178.88 is: 18,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.88 : 31,896 = 13,178.88 : x
  2. Step 2: Convert to fraction form
    23,114.88/31,896 = 13,178.88/x
  3. Step 3: Cross multiply
    23,114.88x = 31,896 × 13,178.88
  4. Step 4: Simplify right side
    23,114.88x = 420,353,556.48
  5. Step 5: Solve for x
    x = 420,353,556.48/23,114.88
  6. Step 6: Final answer
    x = 18,185.41

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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.