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Finding the Fourth Proportional to 3,891.47, 5,365.23 and 2,828.36

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Solution

The fourth proportional to 3,891.47, 5,365.23 and 2,828.36 is: 3,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.47 : 5,365.23 = 2,828.36 : x
  2. Step 2: Convert to fraction form
    3,891.47/5,365.23 = 2,828.36/x
  3. Step 3: Cross multiply
    3,891.47x = 5,365.23 × 2,828.36
  4. Step 4: Simplify right side
    3,891.47x = 15,174,775.10
  5. Step 5: Solve for x
    x = 15,174,775.10/3,891.47
  6. Step 6: Final answer
    x = 3,899.50

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1.5x scale

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.