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Finding the Fourth Proportional to 31,716, 47,550.48 and 19,238.88

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Solution

The fourth proportional to 31,716, 47,550.48 and 19,238.88 is: 28,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716 : 47,550.48 = 19,238.88 : x
  2. Step 2: Convert to fraction form
    31,716/47,550.48 = 19,238.88/x
  3. Step 3: Cross multiply
    31,716x = 47,550.48 × 19,238.88
  4. Step 4: Simplify right side
    31,716x = 914,817,978.66
  5. Step 5: Solve for x
    x = 914,817,978.66/31,716
  6. Step 6: Final answer
    x = 28,844.05

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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.