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Finding the Fourth Proportional to 5,137.63, 7,710.19 and 3,970.55

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Solution

The fourth proportional to 5,137.63, 7,710.19 and 3,970.55 is: 5,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.63 : 7,710.19 = 3,970.55 : x
  2. Step 2: Convert to fraction form
    5,137.63/7,710.19 = 3,970.55/x
  3. Step 3: Cross multiply
    5,137.63x = 7,710.19 × 3,970.55
  4. Step 4: Simplify right side
    5,137.63x = 30,613,704.25
  5. Step 5: Solve for x
    x = 30,613,704.25/5,137.63
  6. Step 6: Final answer
    x = 5,958.72

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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.