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Finding the Fourth Proportional to 31,794.94, 47,693.32 and 8,421.38

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Solution

The fourth proportional to 31,794.94, 47,693.32 and 8,421.38 is: 12,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.94 : 47,693.32 = 8,421.38 : x
  2. Step 2: Convert to fraction form
    31,794.94/47,693.32 = 8,421.38/x
  3. Step 3: Cross multiply
    31,794.94x = 47,693.32 × 8,421.38
  4. Step 4: Simplify right side
    31,794.94x = 401,643,332.72
  5. Step 5: Solve for x
    x = 401,643,332.72/31,794.94
  6. Step 6: Final answer
    x = 12,632.30

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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.