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Finding the Fourth Proportional to 5,218.50, 7,830.64 and 2,296.74

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Solution

The fourth proportional to 5,218.50, 7,830.64 and 2,296.74 is: 3,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.50 : 7,830.64 = 2,296.74 : x
  2. Step 2: Convert to fraction form
    5,218.50/7,830.64 = 2,296.74/x
  3. Step 3: Cross multiply
    5,218.50x = 7,830.64 × 2,296.74
  4. Step 4: Simplify right side
    5,218.50x = 17,984,944.11
  5. Step 5: Solve for x
    x = 17,984,944.11/5,218.50
  6. Step 6: Final answer
    x = 3,446.38

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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.