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Finding the Fourth Proportional to 31,614.96, 47,412.36 and 12,894.96

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Solution

The fourth proportional to 31,614.96, 47,412.36 and 12,894.96 is: 19,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.96 : 47,412.36 = 12,894.96 : x
  2. Step 2: Convert to fraction form
    31,614.96/47,412.36 = 12,894.96/x
  3. Step 3: Cross multiply
    31,614.96x = 47,412.36 × 12,894.96
  4. Step 4: Simplify right side
    31,614.96x = 611,380,485.71
  5. Step 5: Solve for x
    x = 611,380,485.71/31,614.96
  6. Step 6: Final answer
    x = 19,338.33

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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.