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Finding the Fourth Proportional to 2,043.11, 3,064.62 and 656.45

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Solution

The fourth proportional to 2,043.11, 3,064.62 and 656.45 is: 984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.11 : 3,064.62 = 656.45 : x
  2. Step 2: Convert to fraction form
    2,043.11/3,064.62 = 656.45/x
  3. Step 3: Cross multiply
    2,043.11x = 3,064.62 × 656.45
  4. Step 4: Simplify right side
    2,043.11x = 2,011,784.75
  5. Step 5: Solve for x
    x = 2,011,784.75/2,043.11
  6. Step 6: Final answer
    x = 984.67

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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.