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Finding the Fourth Proportional to 18,946.60, 28,423.20 and 7,847.20

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Solution

The fourth proportional to 18,946.60, 28,423.20 and 7,847.20 is: 11,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,946.60 : 28,423.20 = 7,847.20 : x
  2. Step 2: Convert to fraction form
    18,946.60/28,423.20 = 7,847.20/x
  3. Step 3: Cross multiply
    18,946.60x = 28,423.20 × 7,847.20
  4. Step 4: Simplify right side
    18,946.60x = 223,042,535.04
  5. Step 5: Solve for x
    x = 223,042,535.04/18,946.60
  6. Step 6: Final answer
    x = 11,772.17

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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.