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Finding the Fourth Proportional to 5,259.78, 7,257.33 and 3,164.58

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Solution

The fourth proportional to 5,259.78, 7,257.33 and 3,164.58 is: 4,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.78 : 7,257.33 = 3,164.58 : x
  2. Step 2: Convert to fraction form
    5,259.78/7,257.33 = 3,164.58/x
  3. Step 3: Cross multiply
    5,259.78x = 7,257.33 × 3,164.58
  4. Step 4: Simplify right side
    5,259.78x = 22,966,401.37
  5. Step 5: Solve for x
    x = 22,966,401.37/5,259.78
  6. Step 6: Final answer
    x = 4,366.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.