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Finding the Fourth Proportional to 11,931.69, 17,897.70 and 3,166.56

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Solution

The fourth proportional to 11,931.69, 17,897.70 and 3,166.56 is: 4,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.69 : 17,897.70 = 3,166.56 : x
  2. Step 2: Convert to fraction form
    11,931.69/17,897.70 = 3,166.56/x
  3. Step 3: Cross multiply
    11,931.69x = 17,897.70 × 3,166.56
  4. Step 4: Simplify right side
    11,931.69x = 56,674,140.91
  5. Step 5: Solve for x
    x = 56,674,140.91/11,931.69
  6. Step 6: Final answer
    x = 4,749.88

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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.