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Finding the Fourth Proportional to 5,359.60, 8,039.10 and 1,661.80

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Solution

The fourth proportional to 5,359.60, 8,039.10 and 1,661.80 is: 2,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.60 : 8,039.10 = 1,661.80 : x
  2. Step 2: Convert to fraction form
    5,359.60/8,039.10 = 1,661.80/x
  3. Step 3: Cross multiply
    5,359.60x = 8,039.10 × 1,661.80
  4. Step 4: Simplify right side
    5,359.60x = 13,359,376.38
  5. Step 5: Solve for x
    x = 13,359,376.38/5,359.60
  6. Step 6: Final answer
    x = 2,492.61

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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.