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Finding the Fourth Proportional to 5,274.74, 7,911.90 and 1,326.02

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Solution

The fourth proportional to 5,274.74, 7,911.90 and 1,326.02 is: 1,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.74 : 7,911.90 = 1,326.02 : x
  2. Step 2: Convert to fraction form
    5,274.74/7,911.90 = 1,326.02/x
  3. Step 3: Cross multiply
    5,274.74x = 7,911.90 × 1,326.02
  4. Step 4: Simplify right side
    5,274.74x = 10,491,298.08
  5. Step 5: Solve for x
    x = 10,491,298.08/5,274.74
  6. Step 6: Final answer
    x = 1,988.97

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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.