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Finding the Fourth Proportional to 3,419.47, 5,128.29 and 953.85

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Solution

The fourth proportional to 3,419.47, 5,128.29 and 953.85 is: 1,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.47 : 5,128.29 = 953.85 : x
  2. Step 2: Convert to fraction form
    3,419.47/5,128.29 = 953.85/x
  3. Step 3: Cross multiply
    3,419.47x = 5,128.29 × 953.85
  4. Step 4: Simplify right side
    3,419.47x = 4,891,621.54
  5. Step 5: Solve for x
    x = 4,891,621.54/3,419.47
  6. Step 6: Final answer
    x = 1,430.52

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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.