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Finding the Fourth Proportional to 5,274.64, 7,911.98 and 1,986.85

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Solution

The fourth proportional to 5,274.64, 7,911.98 and 1,986.85 is: 2,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.64 : 7,911.98 = 1,986.85 : x
  2. Step 2: Convert to fraction form
    5,274.64/7,911.98 = 1,986.85/x
  3. Step 3: Cross multiply
    5,274.64x = 7,911.98 × 1,986.85
  4. Step 4: Simplify right side
    5,274.64x = 15,719,907.53
  5. Step 5: Solve for x
    x = 15,719,907.53/5,274.64
  6. Step 6: Final answer
    x = 2,980.28

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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.