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Finding the Fourth Proportional to 2,011.90, 3,016.77 and 624.64

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Solution

The fourth proportional to 2,011.90, 3,016.77 and 624.64 is: 936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.90 : 3,016.77 = 624.64 : x
  2. Step 2: Convert to fraction form
    2,011.90/3,016.77 = 624.64/x
  3. Step 3: Cross multiply
    2,011.90x = 3,016.77 × 624.64
  4. Step 4: Simplify right side
    2,011.90x = 1,884,395.21
  5. Step 5: Solve for x
    x = 1,884,395.21/2,011.90
  6. Step 6: Final answer
    x = 936.62

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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.