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Finding the Fourth Proportional to 5,307.40, 7,961.64 and 1,609.48

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Solution

The fourth proportional to 5,307.40, 7,961.64 and 1,609.48 is: 2,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.40 : 7,961.64 = 1,609.48 : x
  2. Step 2: Convert to fraction form
    5,307.40/7,961.64 = 1,609.48/x
  3. Step 3: Cross multiply
    5,307.40x = 7,961.64 × 1,609.48
  4. Step 4: Simplify right side
    5,307.40x = 12,814,100.35
  5. Step 5: Solve for x
    x = 12,814,100.35/5,307.40
  6. Step 6: Final answer
    x = 2,414.38

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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.