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Finding the Fourth Proportional to 31,649.74, 47,477.86 and 11,944.88

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Solution

The fourth proportional to 31,649.74, 47,477.86 and 11,944.88 is: 17,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.74 : 47,477.86 = 11,944.88 : x
  2. Step 2: Convert to fraction form
    31,649.74/47,477.86 = 11,944.88/x
  3. Step 3: Cross multiply
    31,649.74x = 47,477.86 × 11,944.88
  4. Step 4: Simplify right side
    31,649.74x = 567,117,340.36
  5. Step 5: Solve for x
    x = 567,117,340.36/31,649.74
  6. Step 6: Final answer
    x = 17,918.55

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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.