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Finding the Fourth Proportional to 3,676.53, 5,514.74 and 903.20

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Solution

The fourth proportional to 3,676.53, 5,514.74 and 903.20 is: 1,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.53 : 5,514.74 = 903.20 : x
  2. Step 2: Convert to fraction form
    3,676.53/5,514.74 = 903.20/x
  3. Step 3: Cross multiply
    3,676.53x = 5,514.74 × 903.20
  4. Step 4: Simplify right side
    3,676.53x = 4,980,881.08
  5. Step 5: Solve for x
    x = 4,980,881.08/3,676.53
  6. Step 6: Final answer
    x = 1,354.78

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1.5x scale

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.