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Finding the Fourth Proportional to 31,609.98, 47,415.02 and 12,900.20

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Solution

The fourth proportional to 31,609.98, 47,415.02 and 12,900.20 is: 19,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.98 : 47,415.02 = 12,900.20 : x
  2. Step 2: Convert to fraction form
    31,609.98/47,415.02 = 12,900.20/x
  3. Step 3: Cross multiply
    31,609.98x = 47,415.02 × 12,900.20
  4. Step 4: Simplify right side
    31,609.98x = 611,662,939.43
  5. Step 5: Solve for x
    x = 611,662,939.43/31,609.98
  6. Step 6: Final answer
    x = 19,350.31

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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.