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Finding the Fourth Proportional to 5,978.96, 8,958.53 and 4,215.36

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Solution

The fourth proportional to 5,978.96, 8,958.53 and 4,215.36 is: 6,316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.96 : 8,958.53 = 4,215.36 : x
  2. Step 2: Convert to fraction form
    5,978.96/8,958.53 = 4,215.36/x
  3. Step 3: Cross multiply
    5,978.96x = 8,958.53 × 4,215.36
  4. Step 4: Simplify right side
    5,978.96x = 37,763,457.35
  5. Step 5: Solve for x
    x = 37,763,457.35/5,978.96
  6. Step 6: Final answer
    x = 6,316.06

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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.