Home / 31,546.80-47,327.40-10,770

Finding the Fourth Proportional to 31,546.80, 47,327.40 and 10,770

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Solution

The fourth proportional to 31,546.80, 47,327.40 and 10,770 is: 16,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546.80 : 47,327.40 = 10,770 : x
  2. Step 2: Convert to fraction form
    31,546.80/47,327.40 = 10,770/x
  3. Step 3: Cross multiply
    31,546.80x = 47,327.40 × 10,770
  4. Step 4: Simplify right side
    31,546.80x = 509,716,098
  5. Step 5: Solve for x
    x = 509,716,098/31,546.80
  6. Step 6: Final answer
    x = 16,157.46

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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.