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Finding the Fourth Proportional to 3,115.62, 4,674.36 and 924.42

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Solution

The fourth proportional to 3,115.62, 4,674.36 and 924.42 is: 1,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.62 : 4,674.36 = 924.42 : x
  2. Step 2: Convert to fraction form
    3,115.62/4,674.36 = 924.42/x
  3. Step 3: Cross multiply
    3,115.62x = 4,674.36 × 924.42
  4. Step 4: Simplify right side
    3,115.62x = 4,321,071.87
  5. Step 5: Solve for x
    x = 4,321,071.87/3,115.62
  6. Step 6: Final answer
    x = 1,386.91

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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.