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Finding the Fourth Proportional to 31,581.84, 47,373.12 and 8,208.48

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Solution

The fourth proportional to 31,581.84, 47,373.12 and 8,208.48 is: 12,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,581.84 : 47,373.12 = 8,208.48 : x
  2. Step 2: Convert to fraction form
    31,581.84/47,373.12 = 8,208.48/x
  3. Step 3: Cross multiply
    31,581.84x = 47,373.12 × 8,208.48
  4. Step 4: Simplify right side
    31,581.84x = 388,861,308.06
  5. Step 5: Solve for x
    x = 388,861,308.06/31,581.84
  6. Step 6: Final answer
    x = 12,312.81

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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.