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Finding the Fourth Proportional to 1,956.40, 2,940.08 and 1,606.48

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Solution

The fourth proportional to 1,956.40, 2,940.08 and 1,606.48 is: 2,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.40 : 2,940.08 = 1,606.48 : x
  2. Step 2: Convert to fraction form
    1,956.40/2,940.08 = 1,606.48/x
  3. Step 3: Cross multiply
    1,956.40x = 2,940.08 × 1,606.48
  4. Step 4: Simplify right side
    1,956.40x = 4,723,164.34
  5. Step 5: Solve for x
    x = 4,723,164.34/1,956.40
  6. Step 6: Final answer
    x = 2,414.22

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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.