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Finding the Fourth Proportional to 31,630.53, 47,446.64 and 13,852.01

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Solution

The fourth proportional to 31,630.53, 47,446.64 and 13,852.01 is: 20,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,630.53 : 47,446.64 = 13,852.01 : x
  2. Step 2: Convert to fraction form
    31,630.53/47,446.64 = 13,852.01/x
  3. Step 3: Cross multiply
    31,630.53x = 47,446.64 × 13,852.01
  4. Step 4: Simplify right side
    31,630.53x = 657,231,331.75
  5. Step 5: Solve for x
    x = 657,231,331.75/31,630.53
  6. Step 6: Final answer
    x = 20,778.39

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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.