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Finding the Fourth Proportional to 5,308.49, 7,962.49 and 1,412.90

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Solution

The fourth proportional to 5,308.49, 7,962.49 and 1,412.90 is: 2,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.49 : 7,962.49 = 1,412.90 : x
  2. Step 2: Convert to fraction form
    5,308.49/7,962.49 = 1,412.90/x
  3. Step 3: Cross multiply
    5,308.49x = 7,962.49 × 1,412.90
  4. Step 4: Simplify right side
    5,308.49x = 11,250,202.12
  5. Step 5: Solve for x
    x = 11,250,202.12/5,308.49
  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.