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Finding the Fourth Proportional to 5,174.01, 7,140.15 and 3,078

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Solution

The fourth proportional to 5,174.01, 7,140.15 and 3,078 is: 4,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.01 : 7,140.15 = 3,078 : x
  2. Step 2: Convert to fraction form
    5,174.01/7,140.15 = 3,078/x
  3. Step 3: Cross multiply
    5,174.01x = 7,140.15 × 3,078
  4. Step 4: Simplify right side
    5,174.01x = 21,977,381.70
  5. Step 5: Solve for x
    x = 21,977,381.70/5,174.01
  6. Step 6: Final answer
    x = 4,247.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.