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Finding the Fourth Proportional to 2,940.32, 4,412.64 and 1,478

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Solution

The fourth proportional to 2,940.32, 4,412.64 and 1,478 is: 2,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.32 : 4,412.64 = 1,478 : x
  2. Step 2: Convert to fraction form
    2,940.32/4,412.64 = 1,478/x
  3. Step 3: Cross multiply
    2,940.32x = 4,412.64 × 1,478
  4. Step 4: Simplify right side
    2,940.32x = 6,521,881.92
  5. Step 5: Solve for x
    x = 6,521,881.92/2,940.32
  6. Step 6: Final answer
    x = 2,218.09

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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.