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Finding the Fourth Proportional to 2,940.91, 4,407.01 and 1,478.25

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Solution

The fourth proportional to 2,940.91, 4,407.01 and 1,478.25 is: 2,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.91 : 4,407.01 = 1,478.25 : x
  2. Step 2: Convert to fraction form
    2,940.91/4,407.01 = 1,478.25/x
  3. Step 3: Cross multiply
    2,940.91x = 4,407.01 × 1,478.25
  4. Step 4: Simplify right side
    2,940.91x = 6,514,658.84
  5. Step 5: Solve for x
    x = 6,514,658.84/2,940.91
  6. Step 6: Final answer
    x = 2,215.19

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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.