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Finding the Fourth Proportional to 3,416.52, 5,124.78 and 1,108.02

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Solution

The fourth proportional to 3,416.52, 5,124.78 and 1,108.02 is: 1,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.52 : 5,124.78 = 1,108.02 : x
  2. Step 2: Convert to fraction form
    3,416.52/5,124.78 = 1,108.02/x
  3. Step 3: Cross multiply
    3,416.52x = 5,124.78 × 1,108.02
  4. Step 4: Simplify right side
    3,416.52x = 5,678,358.74
  5. Step 5: Solve for x
    x = 5,678,358.74/3,416.52
  6. Step 6: Final answer
    x = 1,662.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.