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Finding the Fourth Proportional to 5,274.60, 7,912.35 and 1,379

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Solution

The fourth proportional to 5,274.60, 7,912.35 and 1,379 is: 2,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.60 : 7,912.35 = 1,379 : x
  2. Step 2: Convert to fraction form
    5,274.60/7,912.35 = 1,379/x
  3. Step 3: Cross multiply
    5,274.60x = 7,912.35 × 1,379
  4. Step 4: Simplify right side
    5,274.60x = 10,911,130.65
  5. Step 5: Solve for x
    x = 10,911,130.65/5,274.60
  6. Step 6: Final answer
    x = 2,068.62

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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.