Home / 31,968-47,971.44-13,500

Finding the Fourth Proportional to 31,968, 47,971.44 and 13,500

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Solution

The fourth proportional to 31,968, 47,971.44 and 13,500 is: 20,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968 : 47,971.44 = 13,500 : x
  2. Step 2: Convert to fraction form
    31,968/47,971.44 = 13,500/x
  3. Step 3: Cross multiply
    31,968x = 47,971.44 × 13,500
  4. Step 4: Simplify right side
    31,968x = 647,614,440
  5. Step 5: Solve for x
    x = 647,614,440/31,968
  6. Step 6: Final answer
    x = 20,258.21

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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.