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Finding the Fourth Proportional to 5,163.55, 7,751.40 and 5,127.10

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Solution

The fourth proportional to 5,163.55, 7,751.40 and 5,127.10 is: 7,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.55 : 7,751.40 = 5,127.10 : x
  2. Step 2: Convert to fraction form
    5,163.55/7,751.40 = 5,127.10/x
  3. Step 3: Cross multiply
    5,163.55x = 7,751.40 × 5,127.10
  4. Step 4: Simplify right side
    5,163.55x = 39,742,202.94
  5. Step 5: Solve for x
    x = 39,742,202.94/5,163.55
  6. Step 6: Final answer
    x = 7,696.68

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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.