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Finding the Fourth Proportional to 5,308.45, 7,962.66 and 1,412.86

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Solution

The fourth proportional to 5,308.45, 7,962.66 and 1,412.86 is: 2,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.45 : 7,962.66 = 1,412.86 : x
  2. Step 2: Convert to fraction form
    5,308.45/7,962.66 = 1,412.86/x
  3. Step 3: Cross multiply
    5,308.45x = 7,962.66 × 1,412.86
  4. Step 4: Simplify right side
    5,308.45x = 11,250,103.90
  5. Step 5: Solve for x
    x = 11,250,103.90/5,308.45
  6. Step 6: Final answer
    x = 2,119.28

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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.