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Finding the Fourth Proportional to 1,952.26, 2,924.32 and 913.16

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Solution

The fourth proportional to 1,952.26, 2,924.32 and 913.16 is: 1,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.26 : 2,924.32 = 913.16 : x
  2. Step 2: Convert to fraction form
    1,952.26/2,924.32 = 913.16/x
  3. Step 3: Cross multiply
    1,952.26x = 2,924.32 × 913.16
  4. Step 4: Simplify right side
    1,952.26x = 2,670,372.05
  5. Step 5: Solve for x
    x = 2,670,372.05/1,952.26
  6. Step 6: Final answer
    x = 1,367.84

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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.