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Finding the Fourth Proportional to 31,998.36, 47,992.04 and 8,619.32

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Solution

The fourth proportional to 31,998.36, 47,992.04 and 8,619.32 is: 12,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.36 : 47,992.04 = 8,619.32 : x
  2. Step 2: Convert to fraction form
    31,998.36/47,992.04 = 8,619.32/x
  3. Step 3: Cross multiply
    31,998.36x = 47,992.04 × 8,619.32
  4. Step 4: Simplify right side
    31,998.36x = 413,658,750.21
  5. Step 5: Solve for x
    x = 413,658,750.21/31,998.36
  6. Step 6: Final answer
    x = 12,927.50

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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.