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Finding the Fourth Proportional to 31,467, 47,200.50 and 12,999.48

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Solution

The fourth proportional to 31,467, 47,200.50 and 12,999.48 is: 19,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,467 : 47,200.50 = 12,999.48 : x
  2. Step 2: Convert to fraction form
    31,467/47,200.50 = 12,999.48/x
  3. Step 3: Cross multiply
    31,467x = 47,200.50 × 12,999.48
  4. Step 4: Simplify right side
    31,467x = 613,581,955.74
  5. Step 5: Solve for x
    x = 613,581,955.74/31,467
  6. Step 6: Final answer
    x = 19,499.22

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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.