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Finding the Fourth Proportional to 2,011.39, 3,016.22 and 916.45

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Solution

The fourth proportional to 2,011.39, 3,016.22 and 916.45 is: 1,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.39 : 3,016.22 = 916.45 : x
  2. Step 2: Convert to fraction form
    2,011.39/3,016.22 = 916.45/x
  3. Step 3: Cross multiply
    2,011.39x = 3,016.22 × 916.45
  4. Step 4: Simplify right side
    2,011.39x = 2,764,201.46
  5. Step 5: Solve for x
    x = 2,764,201.46/2,011.39
  6. Step 6: Final answer
    x = 1,374.28

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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.