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Finding the Fourth Proportional to 31,842.61, 47,698.27 and 18,655

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Solution

The fourth proportional to 31,842.61, 47,698.27 and 18,655 is: 27,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.61 : 47,698.27 = 18,655 : x
  2. Step 2: Convert to fraction form
    31,842.61/47,698.27 = 18,655/x
  3. Step 3: Cross multiply
    31,842.61x = 47,698.27 × 18,655
  4. Step 4: Simplify right side
    31,842.61x = 889,811,226.85
  5. Step 5: Solve for x
    x = 889,811,226.85/31,842.61
  6. Step 6: Final answer
    x = 27,944.04

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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.