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Finding the Fourth Proportional to 31,540.40, 47,270.40 and 16,756.40

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Solution

The fourth proportional to 31,540.40, 47,270.40 and 16,756.40 is: 25,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,540.40 : 47,270.40 = 16,756.40 : x
  2. Step 2: Convert to fraction form
    31,540.40/47,270.40 = 16,756.40/x
  3. Step 3: Cross multiply
    31,540.40x = 47,270.40 × 16,756.40
  4. Step 4: Simplify right side
    31,540.40x = 792,081,730.56
  5. Step 5: Solve for x
    x = 792,081,730.56/31,540.40
  6. Step 6: Final answer
    x = 25,113.24

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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.