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Finding the Fourth Proportional to 5,674.36, 8,513 and 1,778.80

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Solution

The fourth proportional to 5,674.36, 8,513 and 1,778.80 is: 2,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.36 : 8,513 = 1,778.80 : x
  2. Step 2: Convert to fraction form
    5,674.36/8,513 = 1,778.80/x
  3. Step 3: Cross multiply
    5,674.36x = 8,513 × 1,778.80
  4. Step 4: Simplify right side
    5,674.36x = 15,142,924.40
  5. Step 5: Solve for x
    x = 15,142,924.40/5,674.36
  6. Step 6: Final answer
    x = 2,668.66

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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.