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Finding the Fourth Proportional to 2,679.62, 4,019.69 and 924.39

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Solution

The fourth proportional to 2,679.62, 4,019.69 and 924.39 is: 1,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.62 : 4,019.69 = 924.39 : x
  2. Step 2: Convert to fraction form
    2,679.62/4,019.69 = 924.39/x
  3. Step 3: Cross multiply
    2,679.62x = 4,019.69 × 924.39
  4. Step 4: Simplify right side
    2,679.62x = 3,715,761.24
  5. Step 5: Solve for x
    x = 3,715,761.24/2,679.62
  6. Step 6: Final answer
    x = 1,386.67

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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.