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Finding the Fourth Proportional to 9,284.40, 13,894.20 and 8,506.80

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Solution

The fourth proportional to 9,284.40, 13,894.20 and 8,506.80 is: 12,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.40 : 13,894.20 = 8,506.80 : x
  2. Step 2: Convert to fraction form
    9,284.40/13,894.20 = 8,506.80/x
  3. Step 3: Cross multiply
    9,284.40x = 13,894.20 × 8,506.80
  4. Step 4: Simplify right side
    9,284.40x = 118,195,180.56
  5. Step 5: Solve for x
    x = 118,195,180.56/9,284.40
  6. Step 6: Final answer
    x = 12,730.51

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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.