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Finding the Fourth Proportional to 13,763.16, 18,993.61 and 7,794.70

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Solution

The fourth proportional to 13,763.16, 18,993.61 and 7,794.70 is: 10,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.16 : 18,993.61 = 7,794.70 : x
  2. Step 2: Convert to fraction form
    13,763.16/18,993.61 = 7,794.70/x
  3. Step 3: Cross multiply
    13,763.16x = 18,993.61 × 7,794.70
  4. Step 4: Simplify right side
    13,763.16x = 148,049,454.13
  5. Step 5: Solve for x
    x = 148,049,454.13/13,763.16
  6. Step 6: Final answer
    x = 10,756.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.