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Finding the Fourth Proportional to 2,752.43, 4,128.49 and 903.30

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Solution

The fourth proportional to 2,752.43, 4,128.49 and 903.30 is: 1,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.43 : 4,128.49 = 903.30 : x
  2. Step 2: Convert to fraction form
    2,752.43/4,128.49 = 903.30/x
  3. Step 3: Cross multiply
    2,752.43x = 4,128.49 × 903.30
  4. Step 4: Simplify right side
    2,752.43x = 3,729,246.63
  5. Step 5: Solve for x
    x = 3,729,246.63/2,752.43
  6. Step 6: Final answer
    x = 1,354.89

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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.