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Finding the Fourth Proportional to 5,308.42, 7,962.62 and 1,412.82

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Solution

The fourth proportional to 5,308.42, 7,962.62 and 1,412.82 is: 2,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.42 : 7,962.62 = 1,412.82 : x
  2. Step 2: Convert to fraction form
    5,308.42/7,962.62 = 1,412.82/x
  3. Step 3: Cross multiply
    5,308.42x = 7,962.62 × 1,412.82
  4. Step 4: Simplify right side
    5,308.42x = 11,249,748.79
  5. Step 5: Solve for x
    x = 11,249,748.79/5,308.42
  6. Step 6: Final answer
    x = 2,119.23

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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.