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Finding the Fourth Proportional to 5,274.56, 7,911.56 and 1,987.44

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Solution

The fourth proportional to 5,274.56, 7,911.56 and 1,987.44 is: 2,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.56 : 7,911.56 = 1,987.44 : x
  2. Step 2: Convert to fraction form
    5,274.56/7,911.56 = 1,987.44/x
  3. Step 3: Cross multiply
    5,274.56x = 7,911.56 × 1,987.44
  4. Step 4: Simplify right side
    5,274.56x = 15,723,750.81
  5. Step 5: Solve for x
    x = 15,723,750.81/5,274.56
  6. Step 6: Final answer
    x = 2,981.05

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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.