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Finding the Fourth Proportional to 3,418.64, 5,128.23 and 953.48

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Solution

The fourth proportional to 3,418.64, 5,128.23 and 953.48 is: 1,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.64 : 5,128.23 = 953.48 : x
  2. Step 2: Convert to fraction form
    3,418.64/5,128.23 = 953.48/x
  3. Step 3: Cross multiply
    3,418.64x = 5,128.23 × 953.48
  4. Step 4: Simplify right side
    3,418.64x = 4,889,649.54
  5. Step 5: Solve for x
    x = 4,889,649.54/3,418.64
  6. Step 6: Final answer
    x = 1,430.29

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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.