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Finding the Fourth Proportional to 31,704.15, 47,558.19 and 10,642.49

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Solution

The fourth proportional to 31,704.15, 47,558.19 and 10,642.49 is: 15,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.15 : 47,558.19 = 10,642.49 : x
  2. Step 2: Convert to fraction form
    31,704.15/47,558.19 = 10,642.49/x
  3. Step 3: Cross multiply
    31,704.15x = 47,558.19 × 10,642.49
  4. Step 4: Simplify right side
    31,704.15x = 506,137,549.44
  5. Step 5: Solve for x
    x = 506,137,549.44/31,704.15
  6. Step 6: Final answer
    x = 15,964.39

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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.