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Finding the Fourth Proportional to 3,146.69, 4,719.72 and 955.43

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Solution

The fourth proportional to 3,146.69, 4,719.72 and 955.43 is: 1,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.69 : 4,719.72 = 955.43 : x
  2. Step 2: Convert to fraction form
    3,146.69/4,719.72 = 955.43/x
  3. Step 3: Cross multiply
    3,146.69x = 4,719.72 × 955.43
  4. Step 4: Simplify right side
    3,146.69x = 4,509,362.08
  5. Step 5: Solve for x
    x = 4,509,362.08/3,146.69
  6. Step 6: Final answer
    x = 1,433.05

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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.