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Finding the Fourth Proportional to 5,057.03, 6,978.53 and 3,169.63

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Solution

The fourth proportional to 5,057.03, 6,978.53 and 3,169.63 is: 4,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.03 : 6,978.53 = 3,169.63 : x
  2. Step 2: Convert to fraction form
    5,057.03/6,978.53 = 3,169.63/x
  3. Step 3: Cross multiply
    5,057.03x = 6,978.53 × 3,169.63
  4. Step 4: Simplify right side
    5,057.03x = 22,119,323.15
  5. Step 5: Solve for x
    x = 22,119,323.15/5,057.03
  6. Step 6: Final answer
    x = 4,373.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.