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Finding the Fourth Proportional to 2,671.68, 4,007.70 and 940.08

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Solution

The fourth proportional to 2,671.68, 4,007.70 and 940.08 is: 1,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.68 : 4,007.70 = 940.08 : x
  2. Step 2: Convert to fraction form
    2,671.68/4,007.70 = 940.08/x
  3. Step 3: Cross multiply
    2,671.68x = 4,007.70 × 940.08
  4. Step 4: Simplify right side
    2,671.68x = 3,767,558.62
  5. Step 5: Solve for x
    x = 3,767,558.62/2,671.68
  6. Step 6: Final answer
    x = 1,410.18

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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.