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Finding the Fourth Proportional to 9,894.20, 14,819.70 and 7,685.60

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Solution

The fourth proportional to 9,894.20, 14,819.70 and 7,685.60 is: 11,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.20 : 14,819.70 = 7,685.60 : x
  2. Step 2: Convert to fraction form
    9,894.20/14,819.70 = 7,685.60/x
  3. Step 3: Cross multiply
    9,894.20x = 14,819.70 × 7,685.60
  4. Step 4: Simplify right side
    9,894.20x = 113,898,286.32
  5. Step 5: Solve for x
    x = 113,898,286.32/9,894.20
  6. Step 6: Final answer
    x = 11,511.62

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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.