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Finding the Fourth Proportional to 5,214.69, 7,830.86 and 5,174.37

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Solution

The fourth proportional to 5,214.69, 7,830.86 and 5,174.37 is: 7,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.69 : 7,830.86 = 5,174.37 : x
  2. Step 2: Convert to fraction form
    5,214.69/7,830.86 = 5,174.37/x
  3. Step 3: Cross multiply
    5,214.69x = 7,830.86 × 5,174.37
  4. Step 4: Simplify right side
    5,214.69x = 40,519,741.19
  5. Step 5: Solve for x
    x = 40,519,741.19/5,214.69
  6. Step 6: Final answer
    x = 7,770.31

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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.