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Finding the Fourth Proportional to 7,188.63, 10,785.69 and 2,809.14

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Solution

The fourth proportional to 7,188.63, 10,785.69 and 2,809.14 is: 4,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.63 : 10,785.69 = 2,809.14 : x
  2. Step 2: Convert to fraction form
    7,188.63/10,785.69 = 2,809.14/x
  3. Step 3: Cross multiply
    7,188.63x = 10,785.69 × 2,809.14
  4. Step 4: Simplify right side
    7,188.63x = 30,298,513.21
  5. Step 5: Solve for x
    x = 30,298,513.21/7,188.63
  6. Step 6: Final answer
    x = 4,214.78

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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.