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Finding the Fourth Proportional to 8,573.40, 12,834.90 and 6,391.80

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Solution

The fourth proportional to 8,573.40, 12,834.90 and 6,391.80 is: 9,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.40 : 12,834.90 = 6,391.80 : x
  2. Step 2: Convert to fraction form
    8,573.40/12,834.90 = 6,391.80/x
  3. Step 3: Cross multiply
    8,573.40x = 12,834.90 × 6,391.80
  4. Step 4: Simplify right side
    8,573.40x = 82,038,113.82
  5. Step 5: Solve for x
    x = 82,038,113.82/8,573.40
  6. Step 6: Final answer
    x = 9,568.91

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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.