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Finding the Fourth Proportional to 4,140, 6,201.28 and 2,580.76

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Solution

The fourth proportional to 4,140, 6,201.28 and 2,580.76 is: 3,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 6,201.28 = 2,580.76 : x
  2. Step 2: Convert to fraction form
    4,140/6,201.28 = 2,580.76/x
  3. Step 3: Cross multiply
    4,140x = 6,201.28 × 2,580.76
  4. Step 4: Simplify right side
    4,140x = 16,004,015.37
  5. Step 5: Solve for x
    x = 16,004,015.37/4,140
  6. Step 6: Final answer
    x = 3,865.70

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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.