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Finding the Fourth Proportional to 3,840.65, 5,749.19 and 2,800.40

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Solution

The fourth proportional to 3,840.65, 5,749.19 and 2,800.40 is: 4,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.65 : 5,749.19 = 2,800.40 : x
  2. Step 2: Convert to fraction form
    3,840.65/5,749.19 = 2,800.40/x
  3. Step 3: Cross multiply
    3,840.65x = 5,749.19 × 2,800.40
  4. Step 4: Simplify right side
    3,840.65x = 16,100,055.92
  5. Step 5: Solve for x
    x = 16,100,055.92/3,840.65
  6. Step 6: Final answer
    x = 4,192.01

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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.