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Finding the Fourth Proportional to 20,415.78, 30,499.64 and 12,960.54

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Solution

The fourth proportional to 20,415.78, 30,499.64 and 12,960.54 is: 19,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.78 : 30,499.64 = 12,960.54 : x
  2. Step 2: Convert to fraction form
    20,415.78/30,499.64 = 12,960.54/x
  3. Step 3: Cross multiply
    20,415.78x = 30,499.64 × 12,960.54
  4. Step 4: Simplify right side
    20,415.78x = 395,291,739.40
  5. Step 5: Solve for x
    x = 395,291,739.40/20,415.78
  6. Step 6: Final answer
    x = 19,362.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.