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Finding the Fourth Proportional to 4,331.79, 5,978.66 and 2,564.28

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Solution

The fourth proportional to 4,331.79, 5,978.66 and 2,564.28 is: 3,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.79 : 5,978.66 = 2,564.28 : x
  2. Step 2: Convert to fraction form
    4,331.79/5,978.66 = 2,564.28/x
  3. Step 3: Cross multiply
    4,331.79x = 5,978.66 × 2,564.28
  4. Step 4: Simplify right side
    4,331.79x = 15,330,945.44
  5. Step 5: Solve for x
    x = 15,330,945.44/4,331.79
  6. Step 6: Final answer
    x = 3,539.17

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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.