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Finding the Fourth Proportional to 5,308.36, 7,962.31 and 1,412.77

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Solution

The fourth proportional to 5,308.36, 7,962.31 and 1,412.77 is: 2,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.36 : 7,962.31 = 1,412.77 : x
  2. Step 2: Convert to fraction form
    5,308.36/7,962.31 = 1,412.77/x
  3. Step 3: Cross multiply
    5,308.36x = 7,962.31 × 1,412.77
  4. Step 4: Simplify right side
    5,308.36x = 11,248,912.70
  5. Step 5: Solve for x
    x = 11,248,912.70/5,308.36
  6. Step 6: Final answer
    x = 2,119.09

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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.