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Finding the Fourth Proportional to 3,418.77, 5,128.19 and 953.43

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Solution

The fourth proportional to 3,418.77, 5,128.19 and 953.43 is: 1,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.77 : 5,128.19 = 953.43 : x
  2. Step 2: Convert to fraction form
    3,418.77/5,128.19 = 953.43/x
  3. Step 3: Cross multiply
    3,418.77x = 5,128.19 × 953.43
  4. Step 4: Simplify right side
    3,418.77x = 4,889,390.84
  5. Step 5: Solve for x
    x = 4,889,390.84/3,418.77
  6. Step 6: Final answer
    x = 1,430.16

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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.