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Finding the Fourth Proportional to 5,395.68, 7,448.76 and 3,905.28

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Solution

The fourth proportional to 5,395.68, 7,448.76 and 3,905.28 is: 5,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.68 : 7,448.76 = 3,905.28 : x
  2. Step 2: Convert to fraction form
    5,395.68/7,448.76 = 3,905.28/x
  3. Step 3: Cross multiply
    5,395.68x = 7,448.76 × 3,905.28
  4. Step 4: Simplify right side
    5,395.68x = 29,089,493.45
  5. Step 5: Solve for x
    x = 29,089,493.45/5,395.68
  6. Step 6: Final answer
    x = 5,391.26

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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.