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Finding the Fourth Proportional to 5,412.42, 8,118.63 and 1,308.42

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Solution

The fourth proportional to 5,412.42, 8,118.63 and 1,308.42 is: 1,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.42 : 8,118.63 = 1,308.42 : x
  2. Step 2: Convert to fraction form
    5,412.42/8,118.63 = 1,308.42/x
  3. Step 3: Cross multiply
    5,412.42x = 8,118.63 × 1,308.42
  4. Step 4: Simplify right side
    5,412.42x = 10,622,577.86
  5. Step 5: Solve for x
    x = 10,622,577.86/5,412.42
  6. Step 6: Final answer
    x = 1,962.63

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1.5x scale

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.