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Finding the Fourth Proportional to 26,860, 40,261.20 and 12,978.40

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Solution

The fourth proportional to 26,860, 40,261.20 and 12,978.40 is: 19,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,860 : 40,261.20 = 12,978.40 : x
  2. Step 2: Convert to fraction form
    26,860/40,261.20 = 12,978.40/x
  3. Step 3: Cross multiply
    26,860x = 40,261.20 × 12,978.40
  4. Step 4: Simplify right side
    26,860x = 522,525,958.08
  5. Step 5: Solve for x
    x = 522,525,958.08/26,860
  6. Step 6: Final answer
    x = 19,453.68

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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.