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Finding the Fourth Proportional to 31,502.68, 47,245.38 and 11,774.68

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Solution

The fourth proportional to 31,502.68, 47,245.38 and 11,774.68 is: 17,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.68 : 47,245.38 = 11,774.68 : x
  2. Step 2: Convert to fraction form
    31,502.68/47,245.38 = 11,774.68/x
  3. Step 3: Cross multiply
    31,502.68x = 47,245.38 × 11,774.68
  4. Step 4: Simplify right side
    31,502.68x = 556,299,230.98
  5. Step 5: Solve for x
    x = 556,299,230.98/31,502.68
  6. Step 6: Final answer
    x = 17,658.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.