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Finding the Fourth Proportional to 5,274.72, 7,911.90 and 1,379.13

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Solution

The fourth proportional to 5,274.72, 7,911.90 and 1,379.13 is: 2,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.72 : 7,911.90 = 1,379.13 : x
  2. Step 2: Convert to fraction form
    5,274.72/7,911.90 = 1,379.13/x
  3. Step 3: Cross multiply
    5,274.72x = 7,911.90 × 1,379.13
  4. Step 4: Simplify right side
    5,274.72x = 10,911,538.65
  5. Step 5: Solve for x
    x = 10,911,538.65/5,274.72
  6. Step 6: Final answer
    x = 2,068.65

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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.