Home / 31,406.72-47,072.16-13,856.64

Finding the Fourth Proportional to 31,406.72, 47,072.16 and 13,856.64

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Solution

The fourth proportional to 31,406.72, 47,072.16 and 13,856.64 is: 20,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.72 : 47,072.16 = 13,856.64 : x
  2. Step 2: Convert to fraction form
    31,406.72/47,072.16 = 13,856.64/x
  3. Step 3: Cross multiply
    31,406.72x = 47,072.16 × 13,856.64
  4. Step 4: Simplify right side
    31,406.72x = 652,261,975.14
  5. Step 5: Solve for x
    x = 652,261,975.14/31,406.72
  6. Step 6: Final answer
    x = 20,768.23

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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.