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Finding the Fourth Proportional to 31,569.21, 47,354.15 and 8,195.65

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Solution

The fourth proportional to 31,569.21, 47,354.15 and 8,195.65 is: 12,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,569.21 : 47,354.15 = 8,195.65 : x
  2. Step 2: Convert to fraction form
    31,569.21/47,354.15 = 8,195.65/x
  3. Step 3: Cross multiply
    31,569.21x = 47,354.15 × 8,195.65
  4. Step 4: Simplify right side
    31,569.21x = 388,097,941.55
  5. Step 5: Solve for x
    x = 388,097,941.55/31,569.21
  6. Step 6: Final answer
    x = 12,293.56

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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.