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Finding the Fourth Proportional to 1,954.09, 2,929.52 and 913.58

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Solution

The fourth proportional to 1,954.09, 2,929.52 and 913.58 is: 1,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.09 : 2,929.52 = 913.58 : x
  2. Step 2: Convert to fraction form
    1,954.09/2,929.52 = 913.58/x
  3. Step 3: Cross multiply
    1,954.09x = 2,929.52 × 913.58
  4. Step 4: Simplify right side
    1,954.09x = 2,676,350.88
  5. Step 5: Solve for x
    x = 2,676,350.88/1,954.09
  6. Step 6: Final answer
    x = 1,369.61

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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.