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Finding the Fourth Proportional to 3,419.26, 5,128.84 and 953.88

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Solution

The fourth proportional to 3,419.26, 5,128.84 and 953.88 is: 1,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.26 : 5,128.84 = 953.88 : x
  2. Step 2: Convert to fraction form
    3,419.26/5,128.84 = 953.88/x
  3. Step 3: Cross multiply
    3,419.26x = 5,128.84 × 953.88
  4. Step 4: Simplify right side
    3,419.26x = 4,892,274.49
  5. Step 5: Solve for x
    x = 4,892,274.49/3,419.26
  6. Step 6: Final answer
    x = 1,430.80

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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.