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Finding the Fourth Proportional to 5,221.88, 7,830.94 and 1,523.37

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Solution

The fourth proportional to 5,221.88, 7,830.94 and 1,523.37 is: 2,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.88 : 7,830.94 = 1,523.37 : x
  2. Step 2: Convert to fraction form
    5,221.88/7,830.94 = 1,523.37/x
  3. Step 3: Cross multiply
    5,221.88x = 7,830.94 × 1,523.37
  4. Step 4: Simplify right side
    5,221.88x = 11,929,419.07
  5. Step 5: Solve for x
    x = 11,929,419.07/5,221.88
  6. Step 6: Final answer
    x = 2,284.51

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1.5x scale

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.