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Finding the Fourth Proportional to 3,900.65, 5,851.02 and 2,256.20

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Solution

The fourth proportional to 3,900.65, 5,851.02 and 2,256.20 is: 3,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.65 : 5,851.02 = 2,256.20 : x
  2. Step 2: Convert to fraction form
    3,900.65/5,851.02 = 2,256.20/x
  3. Step 3: Cross multiply
    3,900.65x = 5,851.02 × 2,256.20
  4. Step 4: Simplify right side
    3,900.65x = 13,201,071.32
  5. Step 5: Solve for x
    x = 13,201,071.32/3,900.65
  6. Step 6: Final answer
    x = 3,384.33

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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.