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Finding the Fourth Proportional to 7,164.92, 10,749.88 and 2,785.45

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Solution

The fourth proportional to 7,164.92, 10,749.88 and 2,785.45 is: 4,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.92 : 10,749.88 = 2,785.45 : x
  2. Step 2: Convert to fraction form
    7,164.92/10,749.88 = 2,785.45/x
  3. Step 3: Cross multiply
    7,164.92x = 10,749.88 × 2,785.45
  4. Step 4: Simplify right side
    7,164.92x = 29,943,199.50
  5. Step 5: Solve for x
    x = 29,943,199.50/7,164.92
  6. Step 6: Final answer
    x = 4,179.14

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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.