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Finding the Fourth Proportional to 3,425.48, 5,140.64 and 3,095

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Solution

The fourth proportional to 3,425.48, 5,140.64 and 3,095 is: 4,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.48 : 5,140.64 = 3,095 : x
  2. Step 2: Convert to fraction form
    3,425.48/5,140.64 = 3,095/x
  3. Step 3: Cross multiply
    3,425.48x = 5,140.64 × 3,095
  4. Step 4: Simplify right side
    3,425.48x = 15,910,280.80
  5. Step 5: Solve for x
    x = 15,910,280.80/3,425.48
  6. Step 6: Final answer
    x = 4,644.69

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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.