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Finding the Fourth Proportional to 5,356.60, 8,034.60 and 1,658.80

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Solution

The fourth proportional to 5,356.60, 8,034.60 and 1,658.80 is: 2,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.60 : 8,034.60 = 1,658.80 : x
  2. Step 2: Convert to fraction form
    5,356.60/8,034.60 = 1,658.80/x
  3. Step 3: Cross multiply
    5,356.60x = 8,034.60 × 1,658.80
  4. Step 4: Simplify right side
    5,356.60x = 13,327,794.48
  5. Step 5: Solve for x
    x = 13,327,794.48/5,356.60
  6. Step 6: Final answer
    x = 2,488.11

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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.