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Finding the Fourth Proportional to 31,373.64, 47,069.60 and 12,644

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Solution

The fourth proportional to 31,373.64, 47,069.60 and 12,644 is: 18,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,373.64 : 47,069.60 = 12,644 : x
  2. Step 2: Convert to fraction form
    31,373.64/47,069.60 = 12,644/x
  3. Step 3: Cross multiply
    31,373.64x = 47,069.60 × 12,644
  4. Step 4: Simplify right side
    31,373.64x = 595,148,022.40
  5. Step 5: Solve for x
    x = 595,148,022.40/31,373.64
  6. Step 6: Final answer
    x = 18,969.68

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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.