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Finding the Fourth Proportional to 31,960.58, 47,911.70 and 11,172.74

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Solution

The fourth proportional to 31,960.58, 47,911.70 and 11,172.74 is: 16,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,960.58 : 47,911.70 = 11,172.74 : x
  2. Step 2: Convert to fraction form
    31,960.58/47,911.70 = 11,172.74/x
  3. Step 3: Cross multiply
    31,960.58x = 47,911.70 × 11,172.74
  4. Step 4: Simplify right side
    31,960.58x = 535,304,967.06
  5. Step 5: Solve for x
    x = 535,304,967.06/31,960.58
  6. Step 6: Final answer
    x = 16,748.91

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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.