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Finding the Fourth Proportional to 31,321.08, 46,977.06 and 9,128.49

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Solution

The fourth proportional to 31,321.08, 46,977.06 and 9,128.49 is: 13,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,321.08 : 46,977.06 = 9,128.49 : x
  2. Step 2: Convert to fraction form
    31,321.08/46,977.06 = 9,128.49/x
  3. Step 3: Cross multiply
    31,321.08x = 46,977.06 × 9,128.49
  4. Step 4: Simplify right side
    31,321.08x = 428,829,576.80
  5. Step 5: Solve for x
    x = 428,829,576.80/31,321.08
  6. Step 6: Final answer
    x = 13,691.41

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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.