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Finding the Fourth Proportional to 1,442.91, 2,161.51 and 954.48

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Solution

The fourth proportional to 1,442.91, 2,161.51 and 954.48 is: 1,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.91 : 2,161.51 = 954.48 : x
  2. Step 2: Convert to fraction form
    1,442.91/2,161.51 = 954.48/x
  3. Step 3: Cross multiply
    1,442.91x = 2,161.51 × 954.48
  4. Step 4: Simplify right side
    1,442.91x = 2,063,118.06
  5. Step 5: Solve for x
    x = 2,063,118.06/1,442.91
  6. Step 6: Final answer
    x = 1,429.83

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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.