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Finding the Fourth Proportional to 5,412, 7,468.56 and 2,928

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Solution

The fourth proportional to 5,412, 7,468.56 and 2,928 is: 4,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412 : 7,468.56 = 2,928 : x
  2. Step 2: Convert to fraction form
    5,412/7,468.56 = 2,928/x
  3. Step 3: Cross multiply
    5,412x = 7,468.56 × 2,928
  4. Step 4: Simplify right side
    5,412x = 21,867,943.68
  5. Step 5: Solve for x
    x = 21,867,943.68/5,412
  6. Step 6: Final answer
    x = 4,040.64

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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.