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Finding the Fourth Proportional to 18,487.57, 27,730.95 and 7,964.59

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Solution

The fourth proportional to 18,487.57, 27,730.95 and 7,964.59 is: 11,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,487.57 : 27,730.95 = 7,964.59 : x
  2. Step 2: Convert to fraction form
    18,487.57/27,730.95 = 7,964.59/x
  3. Step 3: Cross multiply
    18,487.57x = 27,730.95 × 7,964.59
  4. Step 4: Simplify right side
    18,487.57x = 220,865,647.06
  5. Step 5: Solve for x
    x = 220,865,647.06/18,487.57
  6. Step 6: Final answer
    x = 11,946.71

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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.