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Finding the Fourth Proportional to 31,906.90, 47,860.35 and 8,214.40

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Solution

The fourth proportional to 31,906.90, 47,860.35 and 8,214.40 is: 12,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.90 : 47,860.35 = 8,214.40 : x
  2. Step 2: Convert to fraction form
    31,906.90/47,860.35 = 8,214.40/x
  3. Step 3: Cross multiply
    31,906.90x = 47,860.35 × 8,214.40
  4. Step 4: Simplify right side
    31,906.90x = 393,144,059.04
  5. Step 5: Solve for x
    x = 393,144,059.04/31,906.90
  6. Step 6: Final answer
    x = 12,321.60

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1.5x scale

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.