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Finding the Fourth Proportional to 3,402.36, 5,102.98 and 936.60

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Solution

The fourth proportional to 3,402.36, 5,102.98 and 936.60 is: 1,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.36 : 5,102.98 = 936.60 : x
  2. Step 2: Convert to fraction form
    3,402.36/5,102.98 = 936.60/x
  3. Step 3: Cross multiply
    3,402.36x = 5,102.98 × 936.60
  4. Step 4: Simplify right side
    3,402.36x = 4,779,451.07
  5. Step 5: Solve for x
    x = 4,779,451.07/3,402.36
  6. Step 6: Final answer
    x = 1,404.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.