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Finding the Fourth Proportional to 3,115.96, 4,674.66 and 924.64

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Solution

The fourth proportional to 3,115.96, 4,674.66 and 924.64 is: 1,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.96 : 4,674.66 = 924.64 : x
  2. Step 2: Convert to fraction form
    3,115.96/4,674.66 = 924.64/x
  3. Step 3: Cross multiply
    3,115.96x = 4,674.66 × 924.64
  4. Step 4: Simplify right side
    3,115.96x = 4,322,377.62
  5. Step 5: Solve for x
    x = 4,322,377.62/3,115.96
  6. Step 6: Final answer
    x = 1,387.17

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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.