Home / 31,830.42-47,745.66-8,456.28

Finding the Fourth Proportional to 31,830.42, 47,745.66 and 8,456.28

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Solution

The fourth proportional to 31,830.42, 47,745.66 and 8,456.28 is: 12,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.42 : 47,745.66 = 8,456.28 : x
  2. Step 2: Convert to fraction form
    31,830.42/47,745.66 = 8,456.28/x
  3. Step 3: Cross multiply
    31,830.42x = 47,745.66 × 8,456.28
  4. Step 4: Simplify right side
    31,830.42x = 403,750,669.74
  5. Step 5: Solve for x
    x = 403,750,669.74/31,830.42
  6. Step 6: Final answer
    x = 12,684.43

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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.