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Finding the Fourth Proportional to 20,970.78, 31,458.54 and 6,932.64

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Solution

The fourth proportional to 20,970.78, 31,458.54 and 6,932.64 is: 10,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.78 : 31,458.54 = 6,932.64 : x
  2. Step 2: Convert to fraction form
    20,970.78/31,458.54 = 6,932.64/x
  3. Step 3: Cross multiply
    20,970.78x = 31,458.54 × 6,932.64
  4. Step 4: Simplify right side
    20,970.78x = 218,090,732.75
  5. Step 5: Solve for x
    x = 218,090,732.75/20,970.78
  6. Step 6: Final answer
    x = 10,399.74

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1.5x scale

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.